Question

Differentiate the following functions with respect to x:

(x + cos x)/(tan x)

Answer 1

As we can observe that y is a fraction of two functions say u and v where,

u = x + cos x and v = tan x

∴ y = u/v

As we know that to find the derivative of fraction of two function we apply quotient rule of differentiation.

By quotient rule, we have –