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Popular >

derivative of (2x-5^{1/2})

Solution

\frac{d}{d x} ((2 x - 5)^{\frac{1}{2}})

Solution

\frac{1}{( 2 x - 5 ) ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} ((2 x - 5)^{\frac{1}{2}})

Apply the chain rule:

\frac{1}{2 ( 2 x - 5 ) ^{\frac{1}{2}}} \frac{d}{d x} (2 x - 5)

= \frac{1}{2 ( 2 x - 5 ) ^{\frac{1}{2}}} \frac{d}{d x} (2 x - 5)

\frac{d}{d x} (2 x - 5) = 2

= \frac{1}{2 ( 2 x - 5 ) ^{\frac{1}{2}}} \cdot 2

Simplify

\frac{1}{2 ( 2 x - 5 ) ^{\frac{1}{2}}} \cdot 2 : \frac{1}{( 2 x - 5 ) ^{\frac{1}{2}}}

= \frac{1}{( 2 x - 5 ) ^{\frac{1}{2}}}

Popular Examples

integral of y^2e^{-2y}

\int y^{2} e^{- 2 y} d y

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f (x) = x e^{\frac{1}{x}}

area-cos(x),[0,pi]area

- cos (x), [0, π]

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

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

(dy)/(dt)=0.06y-4000

\frac{d y}{d t} = 0.06 y - 4000

Frequently Asked Questions (FAQ)

What is the derivative of (2x-5^{1/2}) ?
The derivative of (2x-5^{1/2}) is 1/((2x-5)^{1/2)}
What is the first derivative of (2x-5^{1/2}) ?
The first derivative of (2x-5^{1/2}) is 1/((2x-5)^{1/2)}