Question

How do you differentiate `f(x)=csc4x * sin7x` using the product rule?

Answer 1

`f'(x)=7csc4x*cos7x-4sin7x*csc4x*cot4x`

Explanation:

show below

`f(x)=csc4x * sin7x`

`f'(x)=[csc4x*7cos(7x)]+[-4csc4x*cot4x*sin7x]`

`f'(x)=7csc4x*cos7x-4sin7x*csc4x*cot4x`