What is (\partial)/(\partial x)(1/2 xy^2) ?

The answer to (\partial)/(\partial x)(1/2 xy^2) is (y^2)/2

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(\partial)/(\partial x)(1/2 xy^2)

\frac{\partial}{\partial x} (\frac{1}{2} x y^{2})

\frac{y ^{2}}{2}

Solution steps

\frac{\partial}{\partial x} (\frac{1}{2} x y^{2})

Treat

y

as a constant

Take the constant out:

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

= \frac{1}{2} y^{2} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

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

Simplify

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

= \frac{y ^{2}}{2}

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

x \to - \infty lim (\frac{x}{3})

f (x) =, x

\frac{d}{d x} (15 - x^{2})

\int \frac{- 7 x - 7}{2 x ^{2} + 5 x - 3} d x

What is (\partial)/(\partial x)(1/2 xy^2) ?
The answer to (\partial)/(\partial x)(1/2 xy^2) is (y^2)/2