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Maths-

General

Easy

Question

To verify Rolle’s Theorem there exists at least one point c $element of$ (a, b) such that

$f^{'} (a) = 0$
$f^{'} (b) = 0$
$f^{'} (c) = 0$
None

The correct answer is: $f to the power of straight prime left parenthesis c right parenthesis equals 0$

For Rolle's theorem in the interval c $element of$ (a, b) such that the function is differentiable on the open interval then if $f left parenthesis a right parenthesis equals f left parenthesis b right parenthesis$ , then there exists a point c in the open interval $left parenthesis a comma b right parenthesis$ such that
$fraction numerator f left parenthesis b right parenthesis minus f left parenthesis a right parenthesis over denominator b minus a end fraction equals f apostrophe left parenthesis c right parenthesis equals 0$

Related Questions to study

Let P(x)be a real polynomial of degree 4 having extreme values at x=1 and x=2 if $lim for x not stretchy rightwards arrow 0 of fraction numerator p left parenthesis x right parenthesis over denominator x squared end fraction equals 1$ then p(4) is equal to

Let P(x)be a real polynomial of degree 4 having extreme values at x=1 and x=2 if $lim for x not stretchy rightwards arrow 0 of fraction numerator p left parenthesis x right parenthesis over denominator x squared end fraction equals 1$ then p(4) is equal to

$L t left parenthesis x rightwards arrow 4 right parenthesis space left parenthesis a to the power of x minus 1 right parenthesis divided by left parenthesis b to the power of x minus 1 right parenthesis left parenthesis a greater than 0 comma b greater than 0 comma b not equal to 1 right parenthesis$

$L t left parenthesis x rightwards arrow 4 right parenthesis space left parenthesis a to the power of x minus 1 right parenthesis divided by left parenthesis b to the power of x minus 1 right parenthesis left parenthesis a greater than 0 comma b greater than 0 comma b not equal to 1 right parenthesis$

$L t left parenthesis x rightwards arrow 0 right parenthesis left parenthesis e to the power of x minus 1 right parenthesis divided by left parenthesis √ left parenthesis 1 plus x right parenthesis minus 1 right parenthesis$

$L t left parenthesis x rightwards arrow 0 right parenthesis left parenthesis e to the power of x minus 1 right parenthesis divided by left parenthesis √ left parenthesis 1 plus x right parenthesis minus 1 right parenthesis$

parallel

40 mL of 0.05M Na₂C0₃. NaHC0₃2H₂0 (sesquicarbonate) is titrated against 0.05 M HCL X mL of HCI is used when phenolphthalein is the indicator and y mL HCI is used when methyl orange is the indicator in two separate titrations; hence (y - x) is:

40 mL of 0.05M Na₂C0₃. NaHC0₃2H₂0 (sesquicarbonate) is titrated against 0.05 M HCL X mL of HCI is used when phenolphthalein is the indicator and y mL HCI is used when methyl orange is the indicator in two separate titrations; hence (y - x) is:

Chemistry-General

$left parenthesis L t _ left parenthesis x rightwards arrow 0 right parenthesis space space left parenthesis √ left parenthesis x plus 1 right parenthesis minus 1 right parenthesis divided by x right parenthesis$

$left parenthesis L t _ left parenthesis x rightwards arrow 0 right parenthesis space space left parenthesis √ left parenthesis x plus 1 right parenthesis minus 1 right parenthesis divided by x right parenthesis$

Identify X and Y in the given figure

Identify X and Y in the given figure

Chemistry-General

parallel

Identify p, q, r, s, t and u p q r s t u

Identify p, q, r, s, t and u p q r s t u

Chemistry-General

$L t left parenthesis x rightwards arrow 4 right parenthesis space left parenthesis √ x minus 2 right parenthesis divided by left parenthesis x minus 4 right parenthesis$

$L t left parenthesis x rightwards arrow 4 right parenthesis space left parenthesis √ x minus 2 right parenthesis divided by left parenthesis x minus 4 right parenthesis$

$L t subscript left parenthesis x rightwards arrow 1 right parenthesis invisible function application left square bracket left parenthesis x minus 1 right parenthesis divided by left parenthesis x squared minus x right parenthesis minus left parenthesis x minus 1 right parenthesis divided by left parenthesis x cubed minus 3 x squared plus 2 x right parenthesis right square bracket$

$L t subscript left parenthesis x rightwards arrow 1 right parenthesis invisible function application left square bracket left parenthesis x minus 1 right parenthesis divided by left parenthesis x squared minus x right parenthesis minus left parenthesis x minus 1 right parenthesis divided by left parenthesis x cubed minus 3 x squared plus 2 x right parenthesis right square bracket$

parallel

$L t subscript left parenthesis x rightwards arrow 3 right parenthesis invisible function application left parenthesis x cubed minus 6 x squared plus 9 x right parenthesis divided by left parenthesis x squared minus 9 right parenthesis$

$L t subscript left parenthesis x rightwards arrow 3 right parenthesis invisible function application left parenthesis x cubed minus 6 x squared plus 9 x right parenthesis divided by left parenthesis x squared minus 9 right parenthesis$

(A) Equivalent weight of a base =
(R) Acidity is the· number of replaceable Hydrogen atoms in one molecule of the base

(A) Equivalent weight of a base =
(R) Acidity is the· number of replaceable Hydrogen atoms in one molecule of the base

Chemistry-General

Find the distance between points A and B:

Find the distance between points A and B:

parallel

Round off 811 upto nearest 10 :

Round off 811 upto nearest 10 :

Find the distance between points A and B:

Find the distance between points A and B:

Find the divisor of 6:

Find the divisor of 6:

parallel

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