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

The derivative of e^{sqrt(x^3)} is (3e^{xsqrt(x)}sqrt(x))/2

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

The first derivative of e^{sqrt(x^3)} is (3e^{xsqrt(x)}sqrt(x))/2

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

\frac{3 e ^{x x} x}{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{3}) = \frac{3 x}{2}

= e^{x^{3}} \frac{3 x}{2}

Simplify

e^{x^{3}} \frac{3 x}{2} : \frac{3 e ^{x x} x}{2}

= \frac{3 e ^{x x} x}{2}

\frac{d}{d x} (a (1 - cos (x)))

\frac{\partial}{\partial x} (e^{2 y^{2}} + 4 x^{2})

\int_{1}^{5} \frac{1}{( x - 4 ) ^{2}} d x

\int - 2 x cos (3 x) d x

\frac{d}{d x} ((x^{2} - 2 x)^{s i n (x)})

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