Thread: derivative of (tan^2)(X)

1. derivative of (tan^2)(X)

I know that the derivative of tanx is sec^2(x), but should I pull out the exponent and do [sec^2(x)]*[sec^2(x)]?

2. Hello,

The derivative for $u^2(x)$ is $2 u'(x) u(x)$

3. Originally Posted by liberatedstorm
I know that the derivative of tanx is sec^2(x), but should I pull out the exponent and do [sec^2(x)]*[sec^2(x)]?
No. if you do that you would have to use the product rule, so you would have two terms. which could be factorized

instead, think of it as $(\tan x)^2$ and use the chain rule ...EDIT: which Moo described just before I posted!

4. Or product rule

5. Originally Posted by Moo
Hello,

The derivative for $u^2(x)$ is $2 u'(x) u(x)$
Alright, so I just do $(tanx)^2$ and from there.

Alrighty, thanks! n__n

I always overlook the fact that $tan^2(x)$ isn't squaring the $X$ but rather the $u$

seriously, thanks you guys!