What is (\partial)/(\partial x)(8e^{xy}) ?

The answer to (\partial)/(\partial x)(8e^{xy}) is 8e^{xy}y

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(\partial)/(\partial x)(8e^{xy})

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

8 e^{x y} y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 8 e^{x y} y

\frac{d y}{d t} = - y^{2}

5 x ln (3 x) - 5 x

\frac{df}{d x} x = x^{3}

\int \frac{( 2 x ^{2} - 1 )}{x - x ^{3}} d x

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