derivative

**FamousDrumFreak** · October 14th 2009, 04:29 PM

Find the derivative of the function.

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

**skeeter** · October 14th 2009, 04:41 PM

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 $t$ ...

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

**Mush** · October 14th 2009, 04:42 PM

Originally Posted by FamousDrumFreak

Find the derivative of the function.

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

Do you know the chain rule?

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

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