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

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

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

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

ln (y) e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= ln (y) e^{x}

y = x^{- \frac{2}{5}}

\frac{d}{d x} (\frac{3 - 4 x}{2})

\int \frac{x ^{2}}{1 - x ^{6}} d x

\int \frac{x ^{2}}{4} + 2 x + 3 d x

\frac{\partial}{\partial x} (ln (1 + (x - 1)^{4} \cdot y^{2}))

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