What is the derivative of-4x^{1/2} ?

The derivative of-4x^{1/2} is -2/(x^{1/2)}

What is the first derivative of-4x^{1/2} ?

The first derivative of-4x^{1/2} is -2/(x^{1/2)}

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derivative of

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

- \frac{2}{x ^{\frac{1}{2}}}

Solution steps

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

Take the constant out:

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

= - 4 \frac{d}{d 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{1}{2}}}

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

\frac{x}{2} ln (\frac{1 + x}{1 - x}) - 1

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

\frac{d y}{d x} = \frac{y}{2 x}

n = 1 \sum \infty \frac{n !}{n ^{2} + 1}

n = 1 \sum \infty 0. 8^{n}

What is the derivative of-4x^{1/2} ?
The derivative of-4x^{1/2} is -2/(x^{1/2)}
What is the first derivative of-4x^{1/2} ?
The first derivative of-4x^{1/2} is -2/(x^{1/2)}