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For the curve $y = 2x^3 - 5x^2 - 3x + c$, the line $y = ax + b$ is tangent at the point $(2, 6)$. Find the values of the constants $a$, $b$ and $c$.
Mathematics 9709 · AS & A Level · Differentiation
For the curve $y = 2x^3 - 5x^2 - 3x + c$, the line $y = ax + b$ is tangent at the point $(2, 6)$. Find the values of the constants $a$, $b$ and $c$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiates correctly to give $\frac{dy}{dx}=6x^2-10x-3$” …