i want to make sure if I'm doing this right, if not please correct me. if there is any other rule that applies to this problem, please let me know. thank you.
1.) to find the derivative of f(x) = sin (x^2+5x). I'm using the chain rule for this problem.
f(x)= sin f'(x)= cos
g(x) = x^2+5x g'(x)= 2x+5

(fog)'(x) = f'(g(x)) *g'(x)
answer = cos(x^2+5) *2x+5




2.) find the derivative of h(x) = 1/x^2+3x-4
g(x)= x^2+3x-4 g'(x) = 2x+3
h(x)= x^2+3x-4 h'(x)= 2x+3

answer= 2x^3+9x^2+1x-12 * 2x+3





3.) find the derivative of p(x) = e^5x^2-2x+1 I'm using the chain rule.
g(x) = e(x) g'(x) = 1/log
h(x) = 5x^2-2x+1 h'(x) = 10x^2 - 2

answer = 1/log (5x^2-2x+1)*10x^2-2 I'm unsure about the g'(x)





4.) r(x) = log (x^2-4)
G(X) = LOG(X) g'(x)= 1/log(x)
h(x)= x^2-4 h'(x) = 2x

answer= 1/log(x) * (x^2-4)*2x