EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>Assam CEE 2016>Q 4

EASY

Assam CEE

IMPORTANT

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Let $f$ be a real-valued function defined on $(0, 1) \cup (2, 4)$ , such that $f^{'} (x) = 0 \forall x$ , then

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Important Questions on Differential Coefficient

HARD

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>Assam CEE 2016>Q 1

If

f^{'} (\sqrt{3}) = \sqrt{3}, g^{'} (2) = \sqrt{2}

; then the derivative of

f (\cot x)

with respect to

g (\csc x)

at

x = \frac{π}{6}

is

EASY

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>Assam CEE 2016>Q 2

If

y

is a function of

x

and

\log (x + y) = 2 x y

then the value of

y^{'} (0)

is equal to

MEDIUM

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>Assam CEE 2016>Q 3

Let

f^{''} (x) = - f (x)

, where

f

is continuous double differentiable function and

g (x) = f^{'} (x)

. If

F (x) = {(f (\frac{x}{2}))}^{2} + {(g (\frac{x}{2}))}^{2}

and

F (5) = 5

, then

F (10)

is

EASY

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>Assam CEE 2016>Q 4

Let

f

be a real-valued function defined on

(0, 1) \cup (2, 4)

, such that

f^{'} (x) = 0 \forall x

, then