Question

Differentiate the following functions with respect to x:

(2^x cot x)/√x

Answer 1

As we can observe that y is a product of three functions say u, v & w where,

u = x ^{– 1/2}

v = 2^x

w = cot x

∴ y = uvw

As we know that to find the derivative of product of three function we apply product rule of differentiation.

By product rule, we have –

∴ from equation 1, we can find dy/dx