What is (\partial)/(\partial y)(8e^xln(y)) ?

The answer to (\partial)/(\partial y)(8e^xln(y)) is (8e^x)/y

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(\partial)/(\partial y)(8e^xln(y))

\frac{\partial}{\partial y} (8 e^{x} ln (y))

\frac{8 e ^{x}}{y}

Solution steps

\frac{\partial}{\partial y} (8 e^{x} ln (y))

Treat

x

as a constant

Take the constant out:

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

= 8 e^{x} \frac{\partial}{\partial y} (ln (y))

Apply the common derivative:

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

= 8 e^{x} \frac{1}{y}

Simplify

8 e^{x} \frac{1}{y} : \frac{8 e ^{x}}{y}

= \frac{8 e ^{x}}{y}

\frac{\partial}{\partial x} (7 e^{5 x})

f (x) = e^{x^{2} - 4}

x \to 2 lim ((x + 3)^{2})

ln (x + e)

\frac{\partial}{\partial v} (13.12 + 0.6215 T - 11.37 v^{0.16} + 0.3965 T v^{0.16})

What is (\partial)/(\partial y)(8e^xln(y)) ?
The answer to (\partial)/(\partial y)(8e^xln(y)) is (8e^x)/y