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Popular >

derivative of sqrt(x^2+17)

Solution

\frac{d}{d x} (x^{2} + 17)

Solution

\frac{x}{x ^{2} + 17}

Solution steps

\frac{d}{d x} (x^{2} + 17)

Apply the chain rule:

\frac{1}{2 x ^{2} + 17} \frac{d}{d x} (x^{2} + 17)

= \frac{1}{2 x ^{2} + 17} \frac{d}{d x} (x^{2} + 17)

\frac{d}{d x} (x^{2} + 17) = 2 x

= \frac{1}{2 x ^{2} + 17} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 17} \cdot 2 x : \frac{x}{x ^{2} + 17}

= \frac{x}{x ^{2} + 17}

Graph

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\frac{d}{d x} (2 ln (x) + 3)

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\int (x^{20} - 5 x^{4})^{5} (x^{19} - x^{3}) d x

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2+17) ?
The derivative of sqrt(x^2+17) is x/(sqrt(x^2+17))
What is the first derivative of sqrt(x^2+17) ?
The first derivative of sqrt(x^2+17) is x/(sqrt(x^2+17))