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

Again, this is not a derivative we immediately know, so we have to use our toolbox of rules. Here, we have a composition of functions, so we use the chain rule, which states that if $y$ is a differentiable function of $u$ and $u$ is a differentiable function of $x$, then

${\frac {dy}{dx}}={\frac {dy}{du}}{\frac {du}{dx}}.$