EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differential Coefficient>JEE Advanced Paper 1 - 2013>Q 4

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JEE Advanced

IMPORTANT

Earn 100

Let $f (x) = x \sin π x, x > 0$ . Then for all natural numbers $n, f^{'} (x)$ vanishes at

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Important Questions on Differential Coefficient

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differential Coefficient>JEE Advanced Paper 2 - 2017>Q 1

If

f (x) = |\begin{matrix} \cos 2 x & \cos 2 x & \sin 2 x \\ - \cos x & \cos x & - \sin x \\ \sin x & \sin x & \cos x \end{matrix}|,

then

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differential Coefficient>JEE Advanced Paper 1 - 2016>Q 3

Let

f : R \to R, g : R \to R

and

h : R \to R

be differentiable functions such that

f (x) = x^{3} + 3 x + 2

,

g (f (x)) = x

and

h (g (g (x))) = x

for all

x \in R .

Then,

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differential Coefficient>JEE Advanced Paper 1 - 2013>Q 4

Let

f (x) = x \sin π x, x > 0

. Then for all natural numbers

n, f^{'} (x)

vanishes at