Question

Differentiate `sinx/(5x+sec^2x)`?

Answer 1

`y' = frac{cos x (5x + sec^2 x) - sin x (5 + 2 sec x frac{1}{cos^2 x} sin x)}{(5x + sec^2x)^2}`

Explanation:

`D_x y = frac{cos x (5x + sec^2 x) - sin x (5 + 2 sec x D_x frac{1}{cos x})}{(5x + sec^2x)^2}`