Science:Math Exam Resources/Courses/MATH100/December 2010/Question 01 (e)/Hint 1

Strap on your seal belts. We're going to need a lot of applications of the chain rule. If $h(x)=f(g(x))$ for differentiable f and g, then the chain rule states that

$\displaystyle h'(x)=f'(g(x))g'(x)$