What is the derivative of e^{2x^3} ?

The derivative of e^{2x^3} is e^{2x^3}*6x^2

What is the first derivative of e^{2x^3} ?

The first derivative of e^{2x^3} is e^{2x^3}*6x^2

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derivative of

e^{2 x^{3}}

e^{2 x^{3}} \cdot 6 x^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= e^{2 x^{3}} \cdot 6 x^{2}

\frac{d}{d x} (3 sec (x) tan (x))

\int sin^{2} (2 x) cos (2 x) d x

\frac{x ^{2}}{3 x + 7}

\frac{d y}{d x}, cos^{2} (x) + cos^{2} (y) = cos (2 x + 2 y)

\frac{d}{d x} (e^{\frac{x}{( x - 1 )}})

What is the derivative of e^{2x^3} ?
The derivative of e^{2x^3} is e^{2x^3}*6x^2
What is the first derivative of e^{2x^3} ?
The first derivative of e^{2x^3} is e^{2x^3}*6x^2