Question

How do you differentiate `f(x)= ( x + 1 )/ ( sin x )` using the quotient rule?

Answer 1

`f'(x) = (sinx - (x + 1 )cosx)/sin^2x`

Explanation:

Using 'Quotient rule' :

f'(x)`=( sinx .d/dx (x + 1 ) - (x + 1 ). d/dx (sinx))/sin^2x`

`=( sinx .(1) - (x + 1 )(cosx))/sin^2x`

`=( sinx -(x + 1 )cosx)/sin^2x`