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

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

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

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

x e^{y}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= x e^{y}

\int cos (θ) sin^{3} (θ) d θ

9 y^{^{''}} + 32 y = 0, y^{^{'}} (0) = 9, y (0) = 5

(x - 8 y) d x = - 4 x d y

\int 1 + 3 cos^{2} (x) sin (2 x) d x

f (x) = 12 - 4 e^{x}, (0, 8)

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