How to Differentiate Complex Functions Using Product and Chain Rules?

[bonzy87]

Hi 2 questions having a mental block and can't figure them out any help would be apprieciated

Q1 differentiate f(x)=ax(2x+b)^7 where a and b are constants

Q2 differentiate f(x)=(x^2+cos^3(x^4))^10

thanks for any help cheers

 

[csprof2000]

Hmmm...

Q1) Product rule, chain rule.

Q2) Chain rule, chain rule

Not too hard, really. Just break them up and apply the appropriate differentiation rules.