What is (\partial)/(\partial x)(e^{x^3}) ?

The answer to (\partial)/(\partial x)(e^{x^3}) is e^{x^3}*3x^2

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(\partial)/(\partial x)(e^{x^3})

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

y^{^{'}} - \frac{1}{2} y = (5 x - 5) y^{- 1}, y (0) = 4

\int \frac{x ^{5}}{1 - x ^{4}} d x

\int (5 x + 5) (x - 4) (x - 4) d x

\int 9 t^{2} + \frac{1}{t ^{3}} d t

y^{^{''}} + y^{^{'}} - 2 y = 6 e^{x}

What is (\partial)/(\partial x)(e^{x^3}) ?
The answer to (\partial)/(\partial x)(e^{x^3}) is e^{x^3}*3x^2