Find the derivative of f(x) = 3x at x = 2

Find the derivative of f(x) = x² – 2 at x = 10

Find the derivative of f(x) = 99x at x = 100.

Find the derivative of f(x) = x at x = 1

Find the derivative of f(x) = cos x at x = 0

Find the derivative of f(x) = tan x at x = 0

Find the derivatives of the following functions at the indicated points :

Find the derivatives of the following functions at the indicated points :

x at x = 1

Find the derivatives of the following functions at the indicated points :

Find the derivatives of the following functions at the indicated points :

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

kxⁿ

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

x² + x + 3

Differentiate each of the following from first principles:

(x + 2)³

Differentiate each of the following from first principles:

x³ + 4x² + 3x + 2

Differentiate each of the following from first principles:

(x² + 1)(x – 5)

Differentiate each of the following from first principles:

Differentiate each of the following from first principles:

Differentiate the following from first principle.

e ^{– x}

Differentiate the following from first principle.

e^3x

Differentiate the following from first principle.

e^{ax + b}

Differentiate the following from first principle.

xe^x

Differentiate the following from first principle.

–x

Differentiate the following from first principle.

(–x) ^{– 1}

Differentiate the following from first principle.

sin (x + 1)

Differentiate the following from first principle.

Differentiate the following from first principle.

x sin x

Differentiate the following from first principle.

x cos x

Differentiate the following from first principle.

sin (2x – 3)

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

sin x + cos x

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

tan (2x + 1)

Differentiate the following from first principles

tan 2x

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following from first principles

Differentiate the following with respect to x:

x⁴ – 2sin x + 3 cos x

Differentiate the following with respect to x:

3^x + x³ + 3³

Differentiate the following with respect to x:

Differentiate the following with respect to x:

e^{x log a} + e^{a log x} + e^{a log a}

Differentiate the following with respect to x:

(2x² + 1)(3x + 2)

Differentiate the following with respect to x:

log₃x + 3log_ex + 2 tan x

Differentiate the following with respect to x:

Differentiate the following with respect to x:

Differentiate the following with respect to x:

Differentiate the following with respect to x:

Differentiate the following with respect to x:

Differentiate the following with respect to x:

2 sec x + 3 cot x – 4 tan x

Differentiate the following with respect to x:

a₀ xⁿ + a₁ x^{n – 1} + a₂ x^{n – 2} + ……. + a_{n – 1} x + a_n

Differentiate the following with respect to x:

Differentiate the following with respect to x:

Differentiate the following with respect to x:

Differentiate the following with respect to x:

cos (x + a)

Differentiate the following with respect to x:

If , find

If , find

Find the slope of the tangent to the curve f(x) = 2x⁶ + x⁴ – 1 at x = 1.

If , prove that:

Find the rate at which the function f(x) = x⁴ – 2x³ + 3x² + x + 5 changes with respect to x.

If , find

If for f(x) = λ x² + μx + 12, f’ (4) = 15 and f’ (2) = 11, then find λ and μ.

For the function Prove that f’(1) = 100 f’ (0).

Differentiate the following functions with respect to x:

x³ sin x

Differentiate the following functions with respect to x:

x³ e^x

Differentiate the following functions with respect to x:

x² e^x log x

Differentiate the following functions with respect to x:

xⁿ tan x

Differentiate the following functions with respect to x:

xⁿ log_a x

Differentiate the following functions with respect to x:

(x³ + x² + 1) sin x

Differentiate the following functions with respect to x:

cos x sin x

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

x² sin x log x

Differentiate the following functions with respect to x:

x⁵ e^x + x⁶ log x

Differentiate the following functions with respect to x:

(x sin x + cos x)(x cos x – sin x)

Differentiate the following functions with respect to x:

(x sin x + cos x)(e^x + x² log x)

Differentiate the following functions with respect to x:

(1 – 2 tan x)(5 + 4 sin x)

Differentiate the following functions with respect to x:

(x² + 1) cos x

Differentiate the following functions with respect to x:

sin² x

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

x³ e^x cos x

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

x⁴ (5 sin x – 3 cos x)

Differentiate the following functions with respect to x:

(2x² – 3)sin x

Differentiate the following functions with respect to x:

x⁵ (3 – 6x ^{– 9})

Differentiate the following functions with respect to x:

x ^{– 4} (3 – 4x ^{– 5})

Differentiate the following functions with respect to x:

x ^{– 3} (5 + 3x)

Differentiate the following functions with respect to x:

(ax + b)/(cx + d)

Differentiate the following functions with respect to x:

(ax + b)ⁿ(cx + d)^m

Differentiate in two ways, using product rule and otherwise, the function

(1 + 2tan x)(5 + 4 cos x). Verify that the answers are the same.

Differentiate each of the following functions by the product by the product rule and the other method and verify that answer from both the methods is the same.

(3x² + 2)²

Differentiate each of the following functions by the product by the product rule and the other method and verify that answer from both the methods is the same.

(x + 2)(x + 3)

Differentiate each of the following functions by the product by the product rule and the other method and verify that answer from both the methods is the same.

(3 sec x – 4 cosec x) ( – 2 sin x + 5 cos x)

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:

Write the value of

Write the value of

If x < 2, then write the value of

Write the value of

Write the value of

If f(x) = |x| + |x – 1|, write the value of .

Write the value of the derivation of f(x) = |x – 1| + |x – 3| at x = 2.

If, write

Write the value of

If f(1) = 1, f’(1) = 2, then write the value of

Write the derivation of f(x) = 3|2 + x| at x = –3.

If |x| < 1 and y = 1 + x + x² + x³ + ….., then write the value of .

If, write the value of f’(x).

Let f(x) = x – [x], x ∈ R, then is

If, then f’(1) is

If then

If f(x) = 1 – x + x² – x³ + ….. – x⁹⁹ + x¹⁰⁰, then f’(1) equals

If, then

If , then is

If f(x) = x¹⁰⁰ + x⁹⁹ + …..+ x + 1, then f’(1) is equal to

If, then f’(1) is equal to

If , then is

If then at x = 0 is

If , then f’(a) is

If f(x) = x sin x, then