Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 10

EASY

11th ICSE

IMPORTANT

Earn 100

Find the derivative of $f (x) = 2 \tan x - 7 \sec x$ with respect to $x$ .

Important Questions on Limits and Derivatives

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 10

Find the derivative of

f (x) = 3 \cot x - 5 cosec x + 7

with respect to

x

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 11

Find the derivative of

f (x) = \sin x \cos x

with respect to

x

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 11

Find the derivative of

f (x) = cosec x \cot x

with respect to

x

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 12

Find the derivative of

f (x) = x^{2} \cos x

with respect to

x

.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 12

Find the derivative of

f (x) = x^{2} \tan x

with respect to

x

.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 13

For a function

f

given by

f (x) = 2 x^{2} - 3 x + 7

, prove that

f^{'} (2) = 5 f^{'} (1)

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 14

For a function

f

given by

f (x) = k x^{2} - 5 x + 4

, if

f^{'} (3) = 37

, then find the value of

k

.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 13 - Limits and Derivatives>EXERCISE>Q 15

For a function

y = x + \frac{1}{x}

, prove that

x^{2} \frac{d y}{d x} - x y + 2 = 0