What is the derivative of sqrt(2x-4) ?

The derivative of sqrt(2x-4) is 1/(sqrt(2x-4))

What is the first derivative of sqrt(2x-4) ?

The first derivative of sqrt(2x-4) is 1/(sqrt(2x-4))

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\frac{d}{d x} (2 x - 4)

\frac{1}{2 x - 4}

Solution steps

\frac{d}{d x} (2 x - 4)

Apply the chain rule:

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

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

\frac{d}{d x} (2 x - 4) = 2

= \frac{1}{2 2 x - 4} \cdot 2

Simplify

\frac{1}{2 2 x - 4} \cdot 2 : \frac{1}{2 x - 4}

= \frac{1}{2 x - 4}

2^{2^{n}}

\int \frac{1}{x ^{2} a ^{2} + x ^{2}} d x

e^{- t}

\frac{d}{d x} (c x^{- 4})

\int (2 x^{2} + 9) (x - 3)^{8} d x

What is the derivative of sqrt(2x-4) ?
The derivative of sqrt(2x-4) is 1/(sqrt(2x-4))
What is the first derivative of sqrt(2x-4) ?
The first derivative of sqrt(2x-4) is 1/(sqrt(2x-4))