Question

What is the derivative of `tan 2x^3`?

Answer 1

`6x^2sec^2(2x^3)`

Explanation:

differentiate using the`color(blue)(" chain rule")`

`d/dx(f(g(x)) = f'g(x).g'(x)`

`d/dx[tan(2x^3)] = sec^2(2x^3) d/dx(2x^3) =sec^2(2x^3).6x^2`