What is (\partial)/(\partial x)(-4sqrt(x)) ?

The answer to (\partial)/(\partial x)(-4sqrt(x)) is -2/(sqrt(x))

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(\partial)/(\partial x)(-4sqrt(x))

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

- \frac{2}{x}

Solution steps

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

Take the constant out:

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

= - 4 \frac{\partial}{\partial x} (x)

Apply radical rule:

a = a^{\frac{1}{2}}

= - 4 \frac{\partial}{\partial x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= - 4 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

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

= - \frac{2}{x}

\int \frac{1}{2 x - 5} d x

\frac{\partial}{\partial x} (2 zy)

x = \frac{( y - 4 ) ^{2}}{4}, y = 7 - x

\frac{d}{d x} (- 243 sin (3 x))

ln (e^{3 x})

What is (\partial)/(\partial x)(-4sqrt(x)) ?
The answer to (\partial)/(\partial x)(-4sqrt(x)) is -2/(sqrt(x))