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

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

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

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

3 x^{2} z

Solution steps

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

Treat

z

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 3 x^{2} z

x \to 1.2 lim (\frac{1}{x - 2})

\int \frac{( x ^{2} - x + 6 )}{x ^{3} + 3 x} d x

\int π \cdot cos (π x) d x

\frac{d}{d x} (5 + x sec (x))

x \to 2 lim (5 x - 3)

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