What is (\partial)/(\partial x)(xye^z) ?

The answer to (\partial)/(\partial x)(xye^z) is e^zy

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(\partial)/(\partial x)(xye^z)

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

e^{z} y

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= y e^{z} \cdot 1

Simplify

= e^{z} y

y = 2 sin (2 x)

\frac{\partial}{\partial x} (x y e^{2})

\int_{1}^{3} (x + 2)^{3} d x

\int \frac{x ^{2} - x + 13}{( x + 1 ) ( x ^{2} + 4 )} d x

\int ln (X) d X

What is (\partial)/(\partial x)(xye^z) ?
The answer to (\partial)/(\partial x)(xye^z) is e^zy