What is (\partial)/(\partial y)(e^{x+2y}) ?

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

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(\partial)/(\partial y)(e^{x+2y})

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

e^{x + 2 y} \cdot 2

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial y} (x + 2 y) = 2

= e^{x + 2 y} \cdot 2

y^{^{'}} = x e^{x - y}

x \to 50 lim (x + 10)

\int \frac{e ^{- x}}{1 - e ^{- 2 x}} d x

\int \frac{r + 3}{r + 3} d r

\frac{d ^{4}}{d x ^{4}} (x e^{5 x} cos (2 x))

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