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

1 Answer
May 20, 2017

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)