Q. 103.7( 3 Votes )

# Differentiate the following with respect to x:

Answer :

To Find: Differentiation

NOTE : When 2 functions are in the product then we used product rule i.e

Formula used: () = ()(nu) and = nx^{n - 1}

Let us take y =

So, by using the above formula, we have

= ()(x) = cosx

Differentiation of y = is cosx

Rate this question :

Differentiate the following functions with respect to x:

x ^{– 3} (5 + 3x)

Differentiate the following functions with respect to x:

x ^{– 4} (3 – 4x ^{– 5})

Differentiate the following functions with respect to x:

x^{5} (3 – 6x ^{– 9})

Differentiate the following functions with respect to x:

(2x^{2} – 3)sin x

If f(x) = x sin x, then

RD Sharma - MathematicsDifferentiate the following functions with respect to x:

x^{4} (5 sin x – 3 cos x)

Differentiate the following functions with respect to x:

x^{3} e^{x} cos x

Differentiate the following functions with respect to x:

(1 – 2 tan x)(5 + 4 sin x)

RD Sharma - MathematicsDifferentiate:

(x^{3} cos x – 2^{x} tan x)

RS Aggarwal - Mathematics

Differentiate:

x^{n} cot x

RS Aggarwal - Mathematics