1. ## derivative

Find the derivative of the function.

f(t) = tan(e^(2t)) + e^(tan(2t))

2. Originally Posted by FamousDrumFreak
Find the derivative of the function.

f(t) = tan(e^(2t)) + e^(tan(2t))
couple of hints ...

if $u$ is a function of $t$ ...

$\frac{d}{dt} \tan{u} = \sec^2{u} \cdot \frac{du}{dt}$

and

if $v$ is a function of $t$ ...

$\frac{d}{dt} e^v = e^v \cdot \frac{dv}{dt}$

3. Originally Posted by FamousDrumFreak
Find the derivative of the function.

f(t) = tan(e^(2t)) + e^(tan(2t))
Do you know the chain rule?

$\frac{d}{dx} f(g(x)) = f'(g(x)) \times g'(x)$