A-level Maths · Differentiation

Product rule: gradient at a point

Differentiate x^n e^(kx) with the product rule and find the gradient at a point.

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Question 1

Given that y=x2e0.5xy = x^{2}e^{0.5x}, find the gradient of the curve at the point where x=3x = 3. Give your answer to 3 significant figures.

You can type 4.53, 3.2e-5, 3.2 × 10^-5 or 7/3.

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