Let for . (a) Find an explicit expression for . (b) Using the result of part (a),…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

y=(\sin x)^{x^{2}}

for

x\in(0,\pi)

. (a) Find an explicit expression for

\dfrac{dy}{dx}

. (b) Using the result of part (a), evaluate

\dfrac{dy}{dx}

at

x=\dfrac{\pi}{4}

.

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