What is (\partial)/(\partial x)(ye^yx) ?

The answer to (\partial)/(\partial x)(ye^yx) is e^yy

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(\partial)/(\partial x)(ye^yx)

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

e^{y} y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= y e^{y} \cdot 1

Simplify

= e^{y} y

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

f (X) = 7 (X - 5)^{\frac{2}{3}}

y = ln (9 x)

x^{3} - 10 x^{2} + 24 x, - x^{3} + 10 x^{2} - 24 x

n = 1 \sum \infty (- 4)^{- n}

What is (\partial)/(\partial x)(ye^yx) ?
The answer to (\partial)/(\partial x)(ye^yx) is e^yy