What is (\partial)/(\partial x)(2x^2w^3(z-1)) ?

The answer to (\partial)/(\partial x)(2x^2w^3(z-1)) is 4xw^3(z-1)

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(\partial)/(\partial x)(2x^2w^3(z-1))

\frac{\partial}{\partial x} (2 x^{2} w^{3} (z - 1))

4 x w^{3} (z - 1)

Solution steps

\frac{\partial}{\partial x} (2 x^{2} w^{3} (z - 1))

Treat

w, z

as constants

Take the constant out:

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

= 2 w^{3} (z - 1) \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 w^{3} (z - 1) \cdot 2 x^{2 - 1}

Simplify

= 4 x w^{3} (z - 1)

\frac{d}{d x} ((6 - x)^{- 1})

\int \frac{1}{1 + 100 x ^{2}} d x

x \to - 6 lim (\frac{1}{( x + 6 ) ^{2}})

\frac{d}{d x} (\frac{\frac{d}{d x} ( 1 )}{x})

y^{^{''}} - 4 y^{^{'}} - 32 y = 0

What is (\partial)/(\partial x)(2x^2w^3(z-1)) ?
The answer to (\partial)/(\partial x)(2x^2w^3(z-1)) is 4xw^3(z-1)