I think I have these figured out, but just want to check...

1. Let f and g be functions that are differentiable for all real numbers. Let g(x)=f(x^2). Find g'(x). I came up with 2x * f'(x^2). Is this correct?

2. Let g(x)=3x^5-5x^4. Find the number of extreme points on teh graph of g(x). I found 2 extreme points when I entered this function into my calculator. Right or not?

Thanks for the help in advance!