Level 2 Calculus Walkthrough

Question 3(a)

2025 Paper — Find the point where the gradient is 3

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Question

\[ f(x)=2x^2-7x-20 \]

Find the coordinate of the point on the curve where the gradient of \(f(x)\) is equal to \(3\).

Try the question yourself first. If you get stuck, open the hints before using the full walkthrough.

Differentiate first, solve \(4x-7=3\), then substitute that x-value back into the original function to get the full coordinate.