Differentiate the following with respect to x:

tan³x

To Find: Differentiation

NOTE : When 2 functions are in the product then we used product rule i.e

Formula used: (tan^anu) = atan^{a - 1}nu and = nx^{n - 1}

Let us take y = tan³x

So, by using the above formula, we have

tan³x = 3tan²(x) = 3tan²x (sec²x).

Differentiation of y = tan³x is 3tan²x (sec²x)