What is (\partial)/(\partial x)(xe^y) ?

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

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(\partial)/(\partial x)(xe^y)

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

e^{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= e^{y} \cdot 1

Simplify

= e^{y}

((e^{2 x} - 5 x)^{2})^{^{'}}

(1, 1), (3, - \frac{5}{6})

\int sin (3 x) sin (8 x) d x

f (x) = 3 x + 4, (4, 4)

\int sin (4 x + 1) d x

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