Level 3 Differentiation Walkthrough
Question 2(b)
2022 Paper - Tangent gradient using the chain rule
Question
Find the gradient of the tangent to the curve \(y=(3x^2-2)^3\) when \(x=2\).
You must use calculus and show any derivatives that you need when solving this problem.
Try the question yourself first. If you get stuck, open the hints before using the full walkthrough.
Step 1
Choose the rule
This is a function raised to a power, so which differentiation rule is the best starting point?