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

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

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

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

e^{5 x y} \cdot 5 y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (5 x y) = 5 y

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

\frac{d}{d x} (sec^{2} (x) tan^{2} (x))

\int \frac{2 x + 4}{x ^{2} - x} d x

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

\frac{\partial}{\partial y} (6 x cos (x) cos (y))

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