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

The answer to (\partial)/(\partial x)(3xyz^2) is 3yz^2

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(\partial)/(\partial x)(3xyz^2)

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

3 y z^{2}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= 3 y z^{2} \cdot 1

Simplify

= 3 y z^{2}

s + 1

\int (4 x + 1)^{5} d x

x + 9

\int_{0}^{3} 2 π x (3 x) d x

(x^{2 x})^{^{'}}

What is (\partial)/(\partial x)(3xyz^2) ?
The answer to (\partial)/(\partial x)(3xyz^2) is 3yz^2