What is (\partial)/(\partial x)(9e^xln(y)) ?

The answer to (\partial)/(\partial x)(9e^xln(y)) is 9ln(y)e^x

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(\partial)/(\partial x)(9e^xln(y))

\frac{\partial}{\partial x} (9 e^{x} ln (y))

9 ln (y) e^{x}

Solution steps

\frac{\partial}{\partial x} (9 e^{x} ln (y))

Treat

y

as a constant

Take the constant out:

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

= 9 ln (y) \frac{\partial}{\partial x} (e^{x})

Apply the common derivative:

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

= 9 ln (y) e^{x}

\frac{d y}{d x} = (e^{x} + 5)^{2}

\int \frac{1}{( 1 + x ) ^{5} x} d x

x \to 0 lim (\frac{sin ^{2} ( 2 x )}{x})

f (x) = tan (e^{x})

\frac{x ^{2} - 5 x}{x + 1}

What is (\partial)/(\partial x)(9e^xln(y)) ?
The answer to (\partial)/(\partial x)(9e^xln(y)) is 9ln(y)e^x