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

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

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

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

e^{x}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{x} \cdot 1

Simplify

= e^{x}

\int 24 x (6 x^{2} - 1)^{5} d x

\int \frac{x + 2}{x ^{2} + 11 x + 18} d x

\int_{0}^{y} 8 d x

f (x) = (3 x - 5)^{\frac{1}{2}}, at x = 2

\int \frac{1}{( 25 x ^{2} + 16 ) ^{2}} d x

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