What is (\partial)/(\partial x)(6e^{xy}) ?

The answer to (\partial)/(\partial x)(6e^{xy}) is 6e^{xy}y

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(\partial)/(\partial x)(6e^{xy})

\frac{\partial}{\partial x} (6 e^{x y})

6 e^{x y} y

Solution steps

\frac{\partial}{\partial x} (6 e^{x y})

Treat

y

as a constant

Take the constant out:

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

= 6 \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

= 6 e^{x y} y

\frac{d}{d x} (e^{x} - x - 1)

y^{^{'}} + y - x^{2} - 2 x = 0

v^{^{'}} = 9.8 - \frac{3}{2} v, v (0) = 1.5

(\frac{2 y}{x} + \frac{2 x ^{4}}{3}) d x - d y = 0

\int r^{2} (\frac{r ^{3}}{18} - 1)^{5} d r

What is (\partial)/(\partial x)(6e^{xy}) ?
The answer to (\partial)/(\partial x)(6e^{xy}) is 6e^{xy}y