Evaluate ( dy dx |_ x=0 ) for the function y = (x^ 3 +2x)^ x^ 2 ,(5-3x)^ (2x)

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

Problem

Evaluate dydx∣x=0\dfrac{dy}{dx}\bigl|_{x=0} for the function y = (x^{3}+2x)^{x^{2}}\,(5-3x)^{\sin(2x)}. Provide the exact value.

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