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Popular >

derivative of sqrt(x^2+100)

Solution

\frac{d}{d x} (x^{2} + 100)

Solution

\frac{x}{x ^{2} + 100}

Solution steps

\frac{d}{d x} (x^{2} + 100)

Apply the chain rule:

\frac{1}{2 x ^{2} + 100} \frac{d}{d x} (x^{2} + 100)

= \frac{1}{2 x ^{2} + 100} \frac{d}{d x} (x^{2} + 100)

\frac{d}{d x} (x^{2} + 100) = 2 x

= \frac{1}{2 x ^{2} + 100} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 100} \cdot 2 x : \frac{x}{x ^{2} + 100}

= \frac{x}{x ^{2} + 100}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2+100) ?
The derivative of sqrt(x^2+100) is x/(sqrt(x^2+100))
What is the first derivative of sqrt(x^2+100) ?
The first derivative of sqrt(x^2+100) is x/(sqrt(x^2+100))