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

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

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

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

3 y^{2} z^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

- 0.251 (x - 3.58)^{2} + 3.3

f (x) = \frac{- 6 x}{x ^{2} + 1}, at x = 1

\frac{\partial}{\partial x} (e^{4 x y} \cdot 4 x)

\int 4 x sec^{2} (x) d x

\frac{d}{d x} (0.2 x)

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