If $$y=x2+3x+23+logex2$$. Then, find dydx.

Correct option is 23(2x+3)x2+3x+22+2x

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If $y = {[x^{2} + 3 x + 2]}^{3} + [\log_{e} x^{2}] .$ Then, find $\frac{d y}{d x} .$

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(2x+3)x2+3x+22+2x

3(2x+3)x2+3x+22+2x

3(2x+3)x2+3x+23+2x

3(2x+3)x2+3x+22

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detailed solution

Correct option is B

Using the chain rule, we havedydx=3x2+3x+23-1·(2x+3)+1x2·2x =3(2x+3)x2+3x+22+2x

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If y=x2+3x+23+logex2. Then, find dydx.

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If $y = {[x^{2} + 3 x + 2]}^{3} + [\log_{e} x^{2}] .$ Then, find $\frac{d y}{d x} .$