Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 29

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

If $y = |\cos x| + |\sin x|,$ then $\frac{d y}{d x}$ at $x = \frac{2 π}{3}$ , is equal to

50% studentsanswered this correctly

Important Questions on Differentiation

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 30

If

f (x) = |\cos x|,

then

f^{'} (\frac{3 π}{4})

is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 31

If

f (x) = {|x|}^{|\tan x|},

then

f^{'} (\frac{- π}{6})

is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 32

If

f (x) = |x - 1|

and

g (x) = f (f (f (x))),

then

x > 2, g^{'} (x)

is equal to

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 33

If

f (x) = 2 \tan^{- 1} x + \cos^{- 1} (\frac{1 - x^{2}}{1 + x^{2}}),

then

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 34

Let

f (x) = \sqrt{x - 1} + \sqrt{x + 24 - 10 \sqrt{x - 1}}, 1 < x < 26

be real valued function, then

f^{'} (x),

for

1 < x < 26

, is equal to

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 35

If

f (x) = \frac{1}{1 - x},

then the derivative of the composite function

f (f (f (x)))

is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 36

If

f (x) = |x - 1|

and

g (x) = f (f (f (x)))

, then

g^{'} (4)

is equal to

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 6 - Differentiation>Target Exercises>Q 37

If

u = f {(x)}^{3}, v = g (x^{2}), f^{'} (x) = \cos x

and

g^{'} (x) = \sin x,

then

\frac{d u}{d v}

is equal to