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MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider y=xsin⁡x(2x+3)x2y=x^{\sin x}(2x+3)^{x^{2}} for x>0x>0. What is y′(1)y'(1)? (a) 5sin⁡1+10ln⁡55\sin 1 + 10\ln 5 (b) 5sin⁡1+10ln⁡5+25\sin 1 + 10\ln 5 + 2 (c) sin⁡1+2ln⁡5+25\sin 1 + 2\ln 5 + \dfrac{2}{5} (d) 5sin⁡1+10ln⁡5+15\sin 1 + 10\ln 5 + 1

Related theory

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