Question

How do do you differentiate `f(x)= (x+sinx)/(cosx)`?

Answer 1

`f'(x) = frac{cos x + x sin x + 1}{cos^2 x}`

Explanation:

`f'(x) = frac{(1 + cos x) cos x - (x + sin x)(- sin x)}{cos^2 x}`

`= frac{cos x + cos^2 x + x sin x + sin^2 x}{cos^2 x}`