What is (\partial)/(\partial z)(xz^2) ?

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

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(\partial)/(\partial z)(xz^2)

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

2 x z

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x z

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

x \to 1 lim (- 2)

4 x - 7

\int \frac{5 x ^{2}}{x ^{2} + 8} d x

y = 3 + 7 - x, (3, 5)

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