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Maths-

General

Easy

Question

To verify Lagrange’s mean value theorem, there exists at least one point c $element of$ (a,b) such that

$f^{'} (c) = \frac{f (a) - f (b)}{b - a}$
$f^{'} (c) = \frac{f (b) - f (a)}{b - a}$
$f^{'} (c) = \frac{f (a) - f (b)}{b - a}$
None

The correct answer is: $f to the power of straight prime left parenthesis c right parenthesis equals fraction numerator f left parenthesis b right parenthesis minus f left parenthesis a right parenthesis over denominator b minus a end fraction$

If a function $y equals f left parenthesis x right parenthesis$ is continuous from the interval $left square bracket a comma b right square bracket$ and is differentiable in the open interval $left parenthesis a comma b right parenthesis$ , then according to Lagrange Mean Value Theorem (LMVT) there exists a point C in the interval $left parenthesis a comma b right parenthesis$ such that
$f apostrophe left parenthesis c right parenthesis equals fraction numerator f left parenthesis b right parenthesis minus f left parenthesis a right parenthesis over denominator b minus a end fraction$

Related Questions to study

Rolle’s Theorem is not applicable for?

Rolle’s Theorem is not applicable for?

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

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

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

parallel

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

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

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

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

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

parallel

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

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

Identify X and Y in the given figure

Identify X and Y in the given figure

Chemistry-General

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

parallel

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

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

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

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

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

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

parallel

(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:

Round off 811 upto nearest 10 :

Round off 811 upto nearest 10 :

parallel

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