Question

differentiate the following y= tan( cos x )
​

Answer 1

Answer:$sec(cos(x))^2 * -sin(x)$

Step-by-step explanation:

Chain role:

first take the derivative of the outside

derivative of tan(x) is sec^2(x)

the inside stays the same.

$sec(cos(x))^2$

multiply by the derivative of the inside

derivative of cos(x) is -sin(x)

$sec(cos(x))^2 * -sin(x)$