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Popular >

derivative of sqrt((x-1/2))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

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

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

derivative of-x^2+4x+1

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

integral of ((4x^2+4))/((x^2-2x+2)^2)

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

derivative of (3+2xe^{-3x})

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

9y^{''}-12y^'+4y=0

9 y^{^{''}} - 12 y^{^{'}} + 4 y = 0

Frequently Asked Questions (FAQ)

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