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)]?
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Hello, The derivative for $\displaystyle u^2(x)$ is $\displaystyle 2 u'(x) u(x)$
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 $\displaystyle (\tan x)^2$ and use the chain rule ...EDIT: which Moo described just before I posted!
Or product rule
Originally Posted by Moo Hello, The derivative for $\displaystyle u^2(x)$ is $\displaystyle 2 u'(x) u(x)$ Alright, so I just do $\displaystyle (tanx)^2$ and from there. Alrighty, thanks! n__n I always overlook the fact that $\displaystyle tan^2(x)$ isn't squaring the $\displaystyle X$ but rather the $\displaystyle u$ seriously, thanks you guys!
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