anonymous
  • anonymous
find the derivative f(x)=tan^(-1) (x/7)
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Do you know how to find the derivative of tan^(-1) ?
anonymous
  • anonymous
1/x^2+1
anonymous
  • anonymous
let's use the chain rule.

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anonymous
  • anonymous
\[y = \tan^{-1}(u)\]
anonymous
  • anonymous
\[u = \frac{x}{7}\]
anonymous
  • anonymous
we know that \[\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}\]
anonymous
  • anonymous
So \[\frac{dy}{dx}=\frac{1}{1+u^2}\frac{1}{7}\]
anonymous
  • anonymous
\[\frac{dy}{dx}=\frac{1}{1+(x/7)^2}\frac{1}{7}\]
anonymous
  • anonymous
Do you have any question?
anonymous
  • anonymous
its that whole thing right? 1/1+(x/7)^2*1/7???
anonymous
  • anonymous
yes
anonymous
  • anonymous
thank you
anonymous
  • anonymous
You're welcome.

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