What is the derivative of sqrt(x-3) ?

The derivative of sqrt(x-3) is 1/(2sqrt(x-3))

What is the first derivative of sqrt(x-3) ?

The first derivative of sqrt(x-3) is 1/(2sqrt(x-3))

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derivative of

x - 3

\frac{1}{2 x - 3}

Solution steps

\frac{d}{d x} (x - 3)

Apply the chain rule:

\frac{1}{2 x - 3} \frac{d}{d x} (x - 3)

= \frac{1}{2 x - 3} \frac{d}{d x} (x - 3)

\frac{d}{d x} (x - 3) = 1

= \frac{1}{2 x - 3} \cdot 1

Simplify

= \frac{1}{2 x - 3}

What is the derivative of sqrt(x-3) ?
The derivative of sqrt(x-3) is 1/(2sqrt(x-3))
What is the first derivative of sqrt(x-3) ?
The first derivative of sqrt(x-3) is 1/(2sqrt(x-3))