What is (\partial)/(\partial x)(7e^xln(y)) ?

The answer to (\partial)/(\partial x)(7e^xln(y)) is 7ln(y)e^x

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(\partial)/(\partial x)(7e^xln(y))

\frac{\partial}{\partial x} (7 e^{x} ln (y))

7 ln (y) e^{x}

Solution steps

\frac{\partial}{\partial x} (7 e^{x} ln (y))

Treat

y

as a constant

Take the constant out:

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

= 7 ln (y) \frac{\partial}{\partial x} (e^{x})

Apply the common derivative:

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

= 7 ln (y) e^{x}

\frac{d}{d x} (sec^{3} (5 x))

arctan (6 x)

f (x) = x^{3} + 2 x^{2} + 4

\frac{d}{d x} (18)

f (x) = \frac{2 - x cos ( π x )}{x - 2}

What is (\partial)/(\partial x)(7e^xln(y)) ?
The answer to (\partial)/(\partial x)(7e^xln(y)) is 7ln(y)e^x