Question

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

Answer 1

Do you know how to find the derivative of tan^(-1) ?

Answer 2

1/x^2+1

Answer 3

let's use the chain rule.

Answer 4

\[y = \tan^{-1}(u)\]

Answer 5

\[u = \frac{x}{7}\]

Answer 6

we know that \[\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}\]

Answer 7

So \[\frac{dy}{dx}=\frac{1}{1+u^2}\frac{1}{7}\]

Answer 8

\[\frac{dy}{dx}=\frac{1}{1+(x/7)^2}\frac{1}{7}\]

Answer 9

Do you have any question?

Answer 10

its that whole thing right? 1/1+(x/7)^2*1/7???

Answer 11

yes

Answer 12

thank you

Answer 13

You're welcome.