A Level

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

Let h(x)=arctan⁡(x2e3x)h(x)=\arctan\bigl(x^{2}e^{3x}\bigr). (a) Find an explicit formula for h′(x)h'(x). (b) Evaluate h′(0)h'(0) and express the numerical result exactly.

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