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Question

Mathematics Question on Logarithmic Differentiation

If y=e3log(2x+1)y=e^{3\log(2x+1)}, then dydx=\frac{dy}{dx}=

A

6e3log(2x+1)6e^{3\log(2x+1)}

B

6e3log(2x+1)2x+16\frac{e^{3\log(2x+1)}}{2x+1}

C

e3log(2x+1)2x+1\frac{e^{3\log(2x+1)}}{2x+1}

D

e3log(2x+1)3(2x+1)\frac{e^{3\log(2x+1)}}{3(2x+1)}

E

(2x+1)e3log(2x+1)(2x+1)e^{3\log(2x+1)}

Answer

6e3log(2x+1)2x+16\frac{e^{3\log(2x+1)}}{2x+1}

Explanation

Solution

The correct option is (B) : 6e3log(2x+1)2x+16\frac{e^{3\log(2x+1)}}{2x+1}