What is the derivative of e^{3ln(x}) ?

The derivative of e^{3ln(x}) is 3x^2

What is the first derivative of e^{3ln(x}) ?

The first derivative of e^{3ln(x}) is 3x^2

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\frac{d}{d x} (e^{3 l n (x)})

3 x^{2}

Solution steps

\frac{d}{d x} (e^{3 l n (x)})

Simplify

e^{3 l n (x)} : x^{3}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 x^{3 - 1}

Simplify

= 3 x^{2}

\int_{3}^{1} (- 5 x + 9) d x

\int \frac{1}{( x ^{2} + 5 ) ^{\frac{3}{2}}} d x

\frac{\partial}{\partial x} (cos (n x) e^{n y})

\int \frac{arctan ( 5 x )}{1 + 25 x ^{2}} d x

f (x) = \frac{x ^{4} + 5 x ^{2} + 10}{x ^{2}}

What is the derivative of e^{3ln(x}) ?
The derivative of e^{3ln(x}) is 3x^2
What is the first derivative of e^{3ln(x}) ?
The first derivative of e^{3ln(x}) is 3x^2