1.

Y = e^(3logx) find dy/dx

Answer»

Answer:

\frac{dy}{dx}=3x^2

Step-by-step EXPLANATION:

Formula USED:

\frac{d(x^n)}{dx}=nx^{n-1}

nlog_a{M}=log_a{M^n}

e^{log_eA}=A

Now,

y=e^{3logx}

y=e^{logx^3}

y=x^3

Differentiate with respect to x

\frac{dy}{dx}=\frac{d(x^3)}{dx}

\frac{dy}{dx}=3x^2


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