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

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

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(\partial)/(\partial x)(xy^2z^2)

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

y^{2} z^{2}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= y^{2} z^{2}

x \to 2 lim (x^{3} - 3 x)

\int ln (8 + 2 x) d x

\int (\frac{1}{4} x^{6} - 5 x^{3} + 9 x) d x

\frac{\partial}{\partial x} (- (xx - yy) e^{- xx - yy})

x \to \infty lim (\frac{e ^{x^{3}}}{7 - x ^{4}})

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