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

The answer to (\partial)/(\partial y)(xe^{5y}) is xe^{5y}*5

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(\partial)/(\partial y)(xe^{5y})

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

x e^{5 y} \cdot 5

Solution steps

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

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

= x e^{5 y} \cdot 5

\frac{d}{d x} ((cos (x) + 2)^{3} (2 x)^{- 3 x})

f (x) = \frac{9}{x ^{3}}

\int sec^{2} (x) tan^{3} (x) d x

\frac{d}{d x} (ln (x) - 2 x)

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