Question

How do you differentiate `f(x)=2cscx+5cosx`?

Answer 1

`f'(x) = - 2 csc(x) cot(x) - 5 sin(x)`

Explanation:

We have: `f(x) = 2 csc(x) + 5 cos(x)`

`Rightarrow f'(x) = frac(d)(dx)(2 csc(x)) + frac(d)(dx)(5 cos(x))`

`Rightarrow f'(x) = 2 (- csc(x) cot(x)) + 5 (- sin(x))`

`Rightarrow f'(x) = - 2 csc(x) cot(x) - 5 sin(x)`