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

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

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

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

e^{5 x y} \cdot 5 x

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

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

\int 9^{x} d x

f (x) = 0.14 x^{2} + 0.68 x + 3.1

y = sin (4 x), (0, \frac{π}{4})

y^{^{'}} = 2 x + y, y (0) = 5

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

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