What is (\partial)/(\partial x)(2000e^{(x)(y)}) ?

The answer to (\partial)/(\partial x)(2000e^{(x)(y)}) is 2000e^{xy}y

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(\partial)/(\partial x)(2000e^{(x)(y)})

\frac{\partial}{\partial x} (2000 e^{(x) (y)})

2000 e^{x y} y

Solution steps

\frac{\partial}{\partial x} (2000 e^{(x) (y)})

Treat

y

as a constant

Take the constant out:

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

= 2000 \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

= 2000 e^{x y} y

t^{2} + a^{2}

\frac{d}{d x} (x^{4} e^{10 x})

\frac{d}{d x} (\frac{8}{5} x^{- \frac{2}{4}})

f (x) = x^{3} + 2 x, at x = 3

x \to 1 lim (7)

What is (\partial)/(\partial x)(2000e^{(x)(y)}) ?
The answer to (\partial)/(\partial x)(2000e^{(x)(y)}) is 2000e^{xy}y