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

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

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

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

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derivative of

2 x - 1

\frac{1}{2 x - 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

x \to 0 lim (\frac{1}{∣ x ∣})

- 2 x^{2} + 8, 3 x + 1, x = 2, x = 0

f (x) = 2 x e^{x} + e^{x} x^{2}

x \to 0 lim (x^{\frac{1}{3}})

\frac{d Q}{d t} = - k Q, t = 0

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