What is (\partial)/(\partial x)(x^3y^2z) ?

The answer to (\partial)/(\partial x)(x^3y^2z) is 3x^2y^2z

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(\partial)/(\partial x)(x^3y^2z)

\frac{\partial}{\partial x} (x^{3} y^{2} z)

3 x^{2} y^{2} z

Solution steps

\frac{\partial}{\partial x} (x^{3} y^{2} z)

Treat

y, z

as constants

Take the constant out:

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

= y^{2} z \frac{\partial}{\partial x} (x^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= y^{2} z \cdot 3 x^{3 - 1}

Simplify

= 3 x^{2} y^{2} z

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

\frac{d}{d x} (- x - \frac{16}{x})

f (x) = sin (ln (x))

\frac{d P}{d t} = P \cdot (0.0005 \cdot P - 0.1), P (0) = 300

\int x^{p} d x

What is (\partial)/(\partial x)(x^3y^2z) ?
The answer to (\partial)/(\partial x)(x^3y^2z) is 3x^2y^2z