Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The minimum value of $x to the power of 2 end exponent plus fraction numerator 1 over denominator 1 plus x to the power of 2 end exponent end fraction i s blank a t$

$x = 0$
$x = 1$
$x = 4$
$x = 3$

The correct answer is: $x equals 0$

Let $f open parentheses x close parentheses equals x to the power of 2 end exponent plus fraction numerator 1 over denominator 1 plus x to the power of 2 end exponent end fraction$
$f to the power of ´ end exponent open parentheses x close parentheses equals 2 x minus fraction numerator 1 over denominator open parentheses 1 plus x to the power of 2 end exponent close parentheses to the power of 2 end exponent end fraction.2 x$

For a minimum, put $f to the power of ´ end exponent open parentheses x close parentheses equals 0 blank rightwards double arrow blank x equals 0$

So, the function has minimum value at $x equals 0.$

Related Questions to study

The equation of motion of a particle moving along a straight line is s=2 $t to the power of 3 end exponent minus 9 t to the power of 2 end exponent plus 12 t comma$ where the units of s and t are centimeter and second. The acceleration of the particle will be zero after

The equation of motion of a particle moving along a straight line is s=2 $t to the power of 3 end exponent minus 9 t to the power of 2 end exponent plus 12 t comma$ where the units of s and t are centimeter and second. The acceleration of the particle will be zero after

A minimum value of $not stretchy integral subscript 0 end subscript superscript x end superscript t e to the power of t to the power of 2 end exponent end exponent d t$ is

A minimum value of $not stretchy integral subscript 0 end subscript superscript x end superscript t e to the power of t to the power of 2 end exponent end exponent d t$ is

If the normal to the curve $y equals f left parenthesis x right parenthesis$ at the point (3, 4) makes an angle $fraction numerator 3 pi over denominator 2 end fraction$ with the positive $x$ -axis, then $f to the power of ´ end exponent left parenthesis 3 right parenthesis$ is equal to

If the normal to the curve $y equals f left parenthesis x right parenthesis$ at the point (3, 4) makes an angle $fraction numerator 3 pi over denominator 2 end fraction$ with the positive $x$ -axis, then $f to the power of ´ end exponent left parenthesis 3 right parenthesis$ is equal to

parallel

$text Given end text space of 1em straight A with rightwards arrow on top equals 2 straight i with not stretchy hat on top plus 3 straight j with not stretchy hat on top text .The angle between end text straight A with rightwards arrow on top text and end text straight y text -axis is- end text$

$text Given end text space of 1em straight A with rightwards arrow on top equals 2 straight i with not stretchy hat on top plus 3 straight j with not stretchy hat on top text .The angle between end text straight A with rightwards arrow on top text and end text straight y text -axis is- end text$

The function $f open parentheses x close parentheses equals cot to the power of negative 1 end exponent invisible function application x plus x$ increasing in the interval

The function $f open parentheses x close parentheses equals cot to the power of negative 1 end exponent invisible function application x plus x$ increasing in the interval

If $f open parentheses x close parentheses equals x to the power of 2 end exponent plus 4 x plus 1 comma blank t h e n$

If $f open parentheses x close parentheses equals x to the power of 2 end exponent plus 4 x plus 1 comma blank t h e n$

parallel

If a particle moves according to the law $s equals 6 t to the power of 2 end exponent minus fraction numerator t to the power of 3 end exponent over denominator 2 end fraction$ , then the time at which it is momentarily at rest is

If a particle moves according to the law $s equals 6 t to the power of 2 end exponent minus fraction numerator t to the power of 3 end exponent over denominator 2 end fraction$ , then the time at which it is momentarily at rest is

The attitude of a right circular cone of minimum volume circumscribed about a sphere of radius $r$ is

The attitude of a right circular cone of minimum volume circumscribed about a sphere of radius $r$ is

The function $x square root of 1 minus x to the power of 2 end exponent end root comma left parenthesis x greater than 0 right parenthesis$ has

The function $x square root of 1 minus x to the power of 2 end exponent end root comma left parenthesis x greater than 0 right parenthesis$ has

parallel

The slope of the tangent to the curves $x equals t to the power of 2 end exponent plus 3 t minus 8 comma blank y equals 2 t to the power of 2 end exponent minus 2 t minus 5$ at the point ( $2 comma blank minus 1 right parenthesis blank$ is

The slope of the tangent to the curves $x equals t to the power of 2 end exponent plus 3 t minus 8 comma blank y equals 2 t to the power of 2 end exponent minus 2 t minus 5$ at the point ( $2 comma blank minus 1 right parenthesis blank$ is

Let the function $f colon R rightwards arrow R$ be defined by $f open parentheses x close parentheses equals 2 x plus cos invisible function application x$ , then $f$

Let the function $f colon R rightwards arrow R$ be defined by $f open parentheses x close parentheses equals 2 x plus cos invisible function application x$ , then $f$

Angle between the tangents to the curve $y equals x to the power of 2 end exponent minus 5 x plus 6$ at the point (2, 0) and (3, 0) is

Angle between the tangents to the curve $y equals x to the power of 2 end exponent minus 5 x plus 6$ at the point (2, 0) and (3, 0) is

parallel

The maximum and minimum values of $y equals fraction numerator a x to the power of 2 end exponent plus 2 b x plus c over denominator A x to the power of 2 end exponent plus 2 B x plus C end fraction$ are those for which

The maximum and minimum values of $y equals fraction numerator a x to the power of 2 end exponent plus 2 b x plus c over denominator A x to the power of 2 end exponent plus 2 B x plus C end fraction$ are those for which

If the rate of change of sine of an angle $theta$ is $k$ , then the rate of change of its tangent is

If the rate of change of sine of an angle $theta$ is $k$ , then the rate of change of its tangent is

A force of $square root of 3$ N makes equal angles with X-axis and Z-axis. The possible value of force are

A force of $square root of 3$ N makes equal angles with X-axis and Z-axis. The possible value of force are

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.