Science:Math Exam Resources/Courses/MATH100 A/December 2023/Question 05/Hint 1

We can rewrite the function as

$f(x)={\frac {1}{g(x)}}=(g(x))^{-1},$

where $g(x)=\sin(x)+\cos(x)$. Use the chain or quotient rule together with the derivative of $g$ to compute the derivative of $f$.