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If f(x) = $open curly brackets table row cell fraction numerator x to the power of 2 end exponent minus 1 over denominator x to the power of 2 end exponent plus 1 end fraction end cell cell comma 0 less than x less or equal than 2 end cell row cell fraction numerator 1 over denominator 4 end fraction open parentheses x to the power of 3 end exponent minus x to the power of 2 end exponent close parentheses end cell cell comma 2 less than x less or equal than 3 end cell row cell fraction numerator 9 over denominator 4 end fraction left parenthesis vertical line x minus 4 vertical line plus vertical line 2 minus x vertical line right parenthesis comma end cell cell 3 less than x less than 4 end cell end table comma close$ then:

f(x) is differentiable at x=2 & x=3
f(x) is non-differentiable at x=2 & x=3
f(x) is differentiable at x=3 but not at x=2
f(x) is differentiable at x=2 but not at x=3.

The correct answer is: f(x) is differentiable at x=3 but not at x=2

where represents the integral part function, then:

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Which of the following function(s) has/have removable discontinuity at

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Consider the function f(x)= $open square brackets table row cell x left curly bracket x right curly bracket plus 1 end cell cell 0 less or equal than x less than 1 end cell row cell 2 minus left curly bracket x right curly bracket end cell cell 1 less or equal than x less or equal than 2 end cell end table close$ where {x} denotes the fractional part function. Which one of the following statements is NOT correct?

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Statement-I : If $a subscript 1 end subscript comma a subscript 2 end subscript comma a subscript 3 end subscript comma horizontal ellipsis horizontal ellipsis a subscript n end subscript greater than 0$ , then $l i m subscript x rightwards arrow infinity end subscript open curly brackets fraction numerator a subscript 1 end subscript superscript 1 divided by x end superscript plus a subscript 2 end subscript superscript 1 divided by x end superscript plus a subscript 3 end subscript superscript 1 divided by x end superscript plus horizontal ellipsis.. plus a subscript n end subscript superscript 1 divided by x end superscript over denominator n end fraction close curly brackets to the power of n x end exponent equals product subscript i equals 1 end subscript superscript n end superscript a subscript n end subscript$

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$L i m subscript x rightwards arrow 0 end subscript invisible function application fraction numerator left parenthesis 1 minus c o s invisible function application 2 x right parenthesis left parenthesis 3 plus c o s invisible function application x right parenthesis over denominator x t a n invisible function application 4 x end fraction$ is equal to

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$l i m subscript s rightwards arrow pi divided by 2 end subscript fraction numerator left square bracket 1 minus t a n invisible function application x divided by 2 right square bracket left square bracket 1 minus s i n invisible function application x right square bracket over denominator left square bracket 1 plus t a n invisible function application x divided by 2 right square bracket left square bracket pi minus 2 x right square bracket to the power of 3 end exponent end fraction$ is equal to-

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Statement $negative I colon$ The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+…+(361+380+400) is 8000.
Statement - II : $sum subscript k equals 1 end subscript superscript n end superscript open parentheses k to the power of 3 end exponent minus left parenthesis k minus 1 right parenthesis to the power of 3 end exponent close parentheses equals n to the power of 3 end exponent$ , for any natural number n.

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If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately.

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The negation of the statement "If I become a teacher, then I will open a school", is :

maths-General

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The value of the definite integral $stretchy integral subscript 0 end subscript superscript 1 end superscript open parentheses 1 plus e to the power of negative x to the power of 2 end exponent end exponent close parentheses d x$ is

So here we used the concept of integrals and simplified it. We can also solve it manually but it will take lot of time to come to final answer hence we used the minimum and maximum method which makes problem to solve easily. So the answer is non of these.

The value of the definite integral $stretchy integral subscript 0 end subscript superscript 1 end superscript open parentheses 1 plus e to the power of negative x to the power of 2 end exponent end exponent close parentheses d x$ is

Maths-General

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Suppos ef, f' andf'' are continuous on[0, e] and that $f times x f times 1 equals 1 text and end text stretchy integral subscript 1 end subscript superscript c end superscript fraction numerator f left parenthesis x right parenthesis over denominator x to the power of 2 end exponent end fraction d x equals fraction numerator 1 over denominator 2 end fraction$ then the value of $stretchy integral subscript 1 end subscript superscript e end superscript f to the power of ´ ´ end exponent left parenthesis x right parenthesis l n invisible function application x d x text equals - end text$

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$I I subscript n end subscript equals stretchy integral subscript 0 end subscript superscript pi divided by 4 end superscript t a n to the power of n end exponent invisible function application x d x text end text$ ther $text end text stack l i m with n rightwards arrow infinity below blank subscript n end subscript I subscript n end subscript plus l subscript m end subscript 2 equals$

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If $left parenthesis alpha beta comma right parenthesis$ is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of a is

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Equation of the circle of radius $square root of 2 text ´ containing the point end text left parenthesis 3 , 1 right parenthesis text and touching the line end text vertical line x minus 1 vertical line equals vertical line y minus 1 vertical line$ is

maths-General

General

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In the adjoining figure, the circle meets the sides of an equilateral triangle at six points. If AG=2,GF=13,FC=1 and HJ=7, then DE=

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f(x) is differentiable at x=2 & x=3
f(x) is non-differentiable at x=2 & x=3
f(x) is differentiable at x=3 but not at x=2
f(x) is differentiable at x=2 but not at x=3.

The correct answer is: f(x) is differentiable at x=3 but not at x=2

Related Questions to study

where represents the integral part function, then:

where represents the integral part function, then:

Which of the following function(s) has/have removable discontinuity at

Which of the following function(s) has/have removable discontinuity at

If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately.

If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately.

The negation of the statement "If I become a teacher, then I will open a school", is :

The negation of the statement "If I become a teacher, then I will open a school", is :

The value of the definite integral $stretchy integral subscript 0 end subscript superscript 1 end superscript open parentheses 1 plus e to the power of negative x to the power of 2 end exponent end exponent close parentheses d x$ is

The value of the definite integral $stretchy integral subscript 0 end subscript superscript 1 end superscript open parentheses 1 plus e to the power of negative x to the power of 2 end exponent end exponent close parentheses d x$ is

If $left parenthesis alpha beta comma right parenthesis$ is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of a is

If $left parenthesis alpha beta comma right parenthesis$ is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of a is

Equation of the circle of radius $square root of 2 text ´ containing the point end text left parenthesis 3 , 1 right parenthesis text and touching the line end text vertical line x minus 1 vertical line equals vertical line y minus 1 vertical line$ is

Equation of the circle of radius $square root of 2 text ´ containing the point end text left parenthesis 3 , 1 right parenthesis text and touching the line end text vertical line x minus 1 vertical line equals vertical line y minus 1 vertical line$ is

In the adjoining figure, the circle meets the sides of an equilateral triangle at six points. If AG=2,GF=13,FC=1 and HJ=7, then DE=

In the adjoining figure, the circle meets the sides of an equilateral triangle at six points. If AG=2,GF=13,FC=1 and HJ=7, then DE=

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If f(x) = then:

f(x) is differentiable at x=2 & x=3 f(x) is non-differentiable at x=2 & x=3 f(x) is differentiable at x=3 but not at x=2 f(x) is differentiable at x=2 but not at x=3.

The correct answer is: f(x) is differentiable at x=3 but not at x=2

Related Questions to study

where represents the integral part function, then:

where represents the integral part function, then:

Which of the following function(s) has/have removable discontinuity at

Which of the following function(s) has/have removable discontinuity at

Consider the function f(x)= where {x} denotes the fractional part function. Which one of the following statements is NOT correct?

Consider the function f(x)= where {x} denotes the fractional part function. Which one of the following statements is NOT correct?

Statement-I : If , then

Statement-I : If , then

is equal to

is equal to

is equal to-

is equal to-

Statement The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+…+(361+380+400) is 8000.Statement - II : , for any natural number n.

Statement The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+…+(361+380+400) is 8000.Statement - II : , for any natural number n.

If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately.

If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately.

The negation of the statement "If I become a teacher, then I will open a school", is :

The negation of the statement "If I become a teacher, then I will open a school", is :

The value of the definite integral is

The value of the definite integral is

Suppos ef, f' andf'' are continuous on[0, e] and that then the value of

Suppos ef, f' andf'' are continuous on[0, e] and that then the value of

ther

ther

If is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of a is

If is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of a is

Equation of the circle of radius is

Equation of the circle of radius is

In the adjoining figure, the circle meets the sides of an equilateral triangle at six points. If AG=2,GF=13,FC=1 and HJ=7, then DE=

In the adjoining figure, the circle meets the sides of an equilateral triangle at six points. If AG=2,GF=13,FC=1 and HJ=7, then DE=

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f(x) is differentiable at x=2 & x=3
f(x) is non-differentiable at x=2 & x=3
f(x) is differentiable at x=3 but not at x=2
f(x) is differentiable at x=2 but not at x=3.

The value of the definite integral $stretchy integral subscript 0 end subscript superscript 1 end superscript open parentheses 1 plus e to the power of negative x to the power of 2 end exponent end exponent close parentheses d x$ is

The value of the definite integral $stretchy integral subscript 0 end subscript superscript 1 end superscript open parentheses 1 plus e to the power of negative x to the power of 2 end exponent end exponent close parentheses d x$ is

If $left parenthesis alpha beta comma right parenthesis$ is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of a is

If $left parenthesis alpha beta comma right parenthesis$ is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of a is

Equation of the circle of radius $square root of 2 text ´ containing the point end text left parenthesis 3 , 1 right parenthesis text and touching the line end text vertical line x minus 1 vertical line equals vertical line y minus 1 vertical line$ is

Equation of the circle of radius $square root of 2 text ´ containing the point end text left parenthesis 3 , 1 right parenthesis text and touching the line end text vertical line x minus 1 vertical line equals vertical line y minus 1 vertical line$ is