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Methods2025 Exam 1 · Q1Tech-free3 marks

Product rule and gradient of a tangent

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a.

Let $y = x^2\cos(x)$ .

Find $\dfrac{dy}{dx}$ .

1 mark

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b.

Let $f(x) = 6\sqrt{x+1} + 5$ .

Find the gradient of the tangent to $y = f(x)$ at $x = 8$ .

2 marks

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