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

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

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

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

z^{3}

Solution steps

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

Treat

z

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= z^{3} \cdot 1

Simplify

= z^{3}

\int 5 sec (x + 3) tan (x + 3) d x

x y^{^{'}} + 3 y = 4 x, y (3) = 6

\frac{\partial}{\partial x} (x^{3} - 6 x y + y^{3})

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

y^{^{'}} = \frac{2 t}{y + t ^{2} y}

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