What is the derivative of sqrt(x-1) ?

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

What is the first derivative of sqrt(x-1) ?

The first derivative of sqrt(x-1) is 1/(2sqrt(x-1))

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derivative of

x - 1

\frac{1}{2 x - 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

y^{^{'}} = x + 2 y

\int \frac{x ^{2} + 2 x - 1}{x ^{3} - x} d x

\int 6 e^{x + 2 y} d y

y = \frac{4}{- 4 x + 3 + 3 x ^{2}} \frac{d y}{d x}

n = 0 \sum \infty n! (2 x - 1)^{n}

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