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Popular >

derivative of sqrt(1+\sqrt{1-x)}

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 1 + 1 - x} (- \frac{1}{2 - x + 1}) : - \frac{1}{4 1 + 1 - x - x + 1}

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

Graph

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(\partial)/(\partial x)(-7x^9)

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laplacetransform cos(4x)laplace transform

cos (4 x)

Frequently Asked Questions (FAQ)

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