What is (\partial)/(\partial x)(y/2 x^2) ?

The answer to (\partial)/(\partial x)(y/2 x^2) is yx

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(\partial)/(\partial x)(y/2 x^2)

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

y x

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= \frac{y}{2} \cdot 2 x^{2 - 1}

Simplify

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

= y x

\int_{0}^{\frac{π}{4}} (sec^{2} (x)) d x

\frac{d}{d x} (ln (sinh (x^{3})))

y = 3 x^{2} + 4 x + 2

\int x^{5} cos (1 - x^{6}) d x

\frac{s + 1}{s ^{2} + 4 s}

What is (\partial)/(\partial x)(y/2 x^2) ?
The answer to (\partial)/(\partial x)(y/2 x^2) is yx