What is (\partial}{\partial x}(\frac{ayx^2z)/2) ?

The answer to (\partial}{\partial x}(\frac{ayx^2z)/2) is ayxz

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(\partial}{\partial x}(\frac{ayx^2z)/2)

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

a y x z

Solution steps

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

Treat

a, y, z

as constants

Take the constant out:

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

= \frac{a yz}{2} \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= \frac{a yz}{2} \cdot 2 x^{2 - 1}

Simplify

\frac{a yz}{2} \cdot 2 x^{2 - 1} : a y x z

= a y x z

\int (x^{4} + x^{2}) d x

x \to 0 lim (\frac{2}{e ^{x} + 1})

\int csc (\frac{3}{4} x) cot (\frac{3}{4} x) d x

n = 1 \sum \infty \frac{3}{n ( n + 2 )}

\frac{\partial}{\partial x} (- 4 sin (3 x))

What is (\partial}{\partial x}(\frac{ayx^2z)/2) ?
The answer to (\partial}{\partial x}(\frac{ayx^2z)/2) is ayxz