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Popular >

derivative of y=sqrt(4-\sqrt{4+x)}

Solution

derivative of

y = 4 - 4 + x

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

d/(dr(t))((s-r(t))/t)

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integral of-cos(x)sin^2(x)

\int - cos (x) sin^{2} (x) d x

sum from n=2 to infinity of 5/(4^n)

n = 2 \sum \infty \frac{5}{4 ^{n}}

integral from 2 to 4 of 1/(sqrt(4x-x^2))

\int_{2}^{4} \frac{1}{4 x - x ^{2}} d x

Frequently Asked Questions (FAQ)

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