If H(x)= G(F(x)), then what is H'(x)

G'(F(x))*F'(x)

Chain Rule

Jen

ETA:
To find H'' we have to use the product rule.

H''(x) = G''(F(x))*F'(x)*F'(x) + G'(F(x))*F''(x)

H'(x) = G'(F(x)) * F'(x)

rule: [f(x)*g(x)]' = f'(x) * g(x) + f(x) * g'(x)

hence: H''(x) = G''(F(x)) * F'(x) + G'(F(x)) * F''(x)