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

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

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

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

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derivative of

y = e^{x^{3}}

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

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

\frac{\partial}{\partial x} (arcsin (x y))

x^{2} sin^{3} (3 x)

x^{10} arctan (x)

\frac{\partial}{\partial y} (15 - 5 (y + 3)^{2})

\frac{\partial}{\partial x} (7 x^{3} cos (7 x^{2} y))

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