Consider the function .

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

Problem

Consider the function y=tan⁡(1+cos⁡4x)y=\tan \left(\sqrt{1+\cos 4x}\right). (i) Obtain dydx\dfrac{dy}{dx} in terms of xx. (ii) Simplify the expression obtained in part (i) as far as possible. (iii) Evaluate dydx\dfrac{dy}{dx} at x=0x=0.

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