What is (\partial)/(\partial x)(xyz^2) ?

The answer to (\partial)/(\partial x)(xyz^2) is yz^2

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(\partial)/(\partial x)(xyz^2)

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

y z^{2}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= y z^{2} \cdot 1

Simplify

= y z^{2}

\frac{d}{d y} (x y + y x^{2} + y^{2})

\frac{d}{d x} (2190 \cdot e^{- 0.3 x})

x \to \frac{π}{2} + lim (3 e^{t a n (x)})

x \to - 1 lim (\frac{e ^{x}}{x + 1})

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

What is (\partial)/(\partial x)(xyz^2) ?
The answer to (\partial)/(\partial x)(xyz^2) is yz^2