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

1. ### Willian93

12
1. The problem statement, all variables and given/known data
use the definition of derivative to find the derivative of tan(x)

2. Relevant equations

Tan(x)= sinx/cosx

3. 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)?

2. ### sylas

1,747
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