chain rule

[Guest]

Here's another one...

My first chain rule,
Prob is: use chain rule to find dy/dx if: y = f(x) = (x^2+7x+2)^15.

Here's what I have, does it seem right?:

if we let u = g(x) = x^2+7x+2, and f(u) = u^15, then F(x) = f(g(x))

so by chain rule, F'(x) = f '(u)g '(x)

so finding deriv of u and x we get: 15u^14 * (2x+7)

subst in u we get: 15(x^2+7x+2)^14 * (2x+7), is this the end???

Thanks again!

 

[stapel]

Looks good to me!

Eliz.

P.S. Thank you for showing your work!

 

[Guest]

thanks stapel