I have differentiated two expressions but the book has different answers. They are (x^9+8x)^3 and (x^3-1)^5.
Could someone give me the answers to check? I was using the chain rule and Leibniz notation.
Then by the chain rule (as in your other problem), F(G(x)) is equal to F'(G(x))G'(x):
$\displaystyle F'(G(x)) = 3(x^{9}+8x)$
$\displaystyle G'(x)=9x^{8}+8$
$\displaystyle F'(G(x))G'(x)=3(x^{9}+8x)(9x^{8}+8) \Rightarrow 3(9x^{17}+16x^{9}+64x)$
The second problem follows in the exact same way.