What is (\partial)/(\partial y)(2e^yx) ?

The answer to (\partial)/(\partial y)(2e^yx) is 2xe^y

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(\partial)/(\partial y)(2e^yx)

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

2 x e^{y}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 2 x e^{y}

x^{2} y^{^{'}} + 2 x y + 1 = 0

\int_{- 1}^{2} e^{x} d x

\frac{3 \cdot s}{5 s ^{2} + 125}

y^{^{'}} + 2 x y = 10 x

\int cos^{13} (x) sin (x) d x

What is (\partial)/(\partial y)(2e^yx) ?
The answer to (\partial)/(\partial y)(2e^yx) is 2xe^y