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Popular >

derivative of-8x^{1/2}

Solution

\frac{d}{d x} (- 8 x^{\frac{1}{2}})

Solution

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

Solution steps

\frac{d}{d x} (- 8 x^{\frac{1}{2}})

Take the constant out:

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

= - 8 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= - 8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

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

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

Popular Examples

tangent of sqrt(5x+6),\at x=6 tangent of

5 x + 6, at x = 6

integral of xe^{-sx}

\int x e^{- s x} d x

(\partial)/(\partial x)(8x^5y^3-9x^4y^6)

\frac{\partial}{\partial x} (8 x^{5} y^{3} - 9 x^{4} y^{6})

derivative of (4x^3+1/(x^2-x+3))

\frac{d}{d x} (\frac{4 x ^{3} + 1}{x ^{2} - x + 3})

(dy}{dx}-y/x =\frac{sqrt(x^2+y^2))/x

\frac{d y}{d x} - \frac{y}{x} = \frac{x ^{2} + y ^{2}}{x}

Frequently Asked Questions (FAQ)

What is the derivative of-8x^{1/2} ?
The derivative of-8x^{1/2} is -4/(x^{1/2)}
What is the first derivative of-8x^{1/2} ?
The first derivative of-8x^{1/2} is -4/(x^{1/2)}