Question

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

Answer 1

`2tanxsec^2x`

Explanation:

`"note "tan^2x=(tanx)^2`

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

`"given "y=f(g(x))" then"`

`dy/dx=f'(g(x))xxg'(x)larr" chain rule"`

`"y=(tanx)^2`

`rArrdy/dx=2tanx xxd/dx(tanx)`

`color(white)(rArrdy/dx)=2tanxsec^2x`