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

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

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

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

y e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y e^{x}

f (x) = x + \frac{7}{x}

\int x \cdot ln (1 + x) d x

x^{3} - 5 x^{2} - x + 5, 1, 5

\int e^{- 2 x} sin (\frac{x}{2}) d x

f (x) = arctan (\frac{2}{x})

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