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

The derivative of sqrt(\sqrt{x)-1} is 1/(4sqrt(x)\sqrt{\sqrt{x)-1}}

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

The first derivative of sqrt(\sqrt{x)-1} is 1/(4sqrt(x)\sqrt{\sqrt{x)-1}}

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Popular >

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

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

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

Simplify

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

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

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