What is (\partial)/(\partial x)(e^{x^5}) ?

The answer to (\partial)/(\partial x)(e^{x^5}) is e^{x^5}*5x^4

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(\partial)/(\partial x)(e^{x^5})

\frac{\partial}{\partial x} (e^{x^{5}})

e^{x^{5}} \cdot 5 x^{4}

Solution steps

\frac{\partial}{\partial x} (e^{x^{5}})

Apply the chain rule:

e^{x^{5}} \frac{\partial}{\partial x} (x^{5})

= e^{x^{5}} \frac{\partial}{\partial x} (x^{5})

\frac{\partial}{\partial x} (x^{5}) = 5 x^{4}

= e^{x^{5}} \cdot 5 x^{4}

\frac{\partial}{\partial x} (\frac{x}{( 1 - x ) ^{2}})

\frac{\partial}{\partial y} (\frac{1}{x ^{3} - y ^{2}})

f (x) = x^{2} + 3, at x = 1

x \to - 10 - lim (\frac{x + 9}{x + 10})

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

What is (\partial)/(\partial x)(e^{x^5}) ?
The answer to (\partial)/(\partial x)(e^{x^5}) is e^{x^5}*5x^4