Differentiate the function y = ( (x^2))^2 with respect to

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Differentiate the function y=(sin⁡(x2))2y = (\sin(x^2))^2 with respect to xx, applying the chain rule carefully. You may use the identity sin⁡2θ=2sin⁡θcos⁡θ\sin 2\theta = 2 \sin \theta \cos \theta to simplify your final expression if desired.

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