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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int e^{- 8 x} tan (e^{- 8 x}) d x

y^{^{'}} = 0.001 y (400 - y)

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n = 0 \sum \infty \frac{3}{7}

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