andrea723
find the derivative f(x)=tan^(1) (x/7)



This Question is Closed

Nodata
Best Response
You've already chosen the best response.
1
Do you know how to find the derivative of tan^(1) ?

andrea723
Best Response
You've already chosen the best response.
0
1/x^2+1

Nodata
Best Response
You've already chosen the best response.
1
let's use the chain rule.

Nodata
Best Response
You've already chosen the best response.
1
\[y = \tan^{1}(u)\]

Nodata
Best Response
You've already chosen the best response.
1
\[u = \frac{x}{7}\]

Nodata
Best Response
You've already chosen the best response.
1
we know that \[\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}\]

Nodata
Best Response
You've already chosen the best response.
1
So \[\frac{dy}{dx}=\frac{1}{1+u^2}\frac{1}{7}\]

Nodata
Best Response
You've already chosen the best response.
1
\[\frac{dy}{dx}=\frac{1}{1+(x/7)^2}\frac{1}{7}\]

Nodata
Best Response
You've already chosen the best response.
1
Do you have any question?

andrea723
Best Response
You've already chosen the best response.
0
its that whole thing right? 1/1+(x/7)^2*1/7???

Nodata
Best Response
You've already chosen the best response.
1
yes

andrea723
Best Response
You've already chosen the best response.
0
thank you

Nodata
Best Response
You've already chosen the best response.
1
You're welcome.