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

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

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(\partial)/(\partial x)(xy^3z^2)

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

y^{3} z^{2}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= y^{3} z^{2}

f (x) = x^{3} - 9 x + 5, at x = 3

y = sec (x^{2} + 3 x)

\int 2 x (x^{2} - 7)^{104} d x

\frac{d}{d x} (15 ln (x) + 4 cos (x) + o)

\frac{d}{d x} ((4 x^{2} - 3 x) (2 x + 1))

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