What is (\partial)/(\partial x)(x*e^y) ?

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

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(\partial)/(\partial x)(x*e^y)

\frac{\partial}{\partial x} (x \cdot 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}

x \to \infty lim (9 x^{2} - 1)

y = \frac{4}{3} x^{3} - 5 x + 4

\frac{d}{d x} (4 x 3 x^{4})

\int \frac{x ^{2}}{( 9 - 25 x ^{2} ) ^{\frac{5}{2}}} d x

\frac{1 - x}{1 + x}

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