Use the definition of derivative to find the derivative of tan(x)

[Willian93]

Homework Statement

use the definition of derivative to find the derivative of tan(x)

Homework Equations

Tan(x)= sinx/cosx

The Attempt at a Solution

i used sinx/cosx, and then use quotient rule, not sure if it is call "definition of derivative"so, is there anyway i can use f(x+h)-f(x)/h to find the derivative of tan (x)?

 

[sylas]

The question does want you to use (f(x+h)-f(x))/h, which is the definition of the derivative. That's the relevant equation. It might also be handy to have an equation for tan(a+b).

Cheers -- sylas