Suppose F(G(x))=x^5 and G’(1)=2 Find F’(G(1))

Answer 1

F'(G(x)) = F'_G(x)G'(x) = 5x⁴; F'(G(1)) = F'_G(x)(1)G'(1) = 5.

So F'(G(1)) = 5/G'(1) = 5/2