What is the derivative of sqrt(x^2+1) ?

The derivative of sqrt(x^2+1) is x/(sqrt(x^2+1))

What is the first derivative of sqrt(x^2+1) ?

The first derivative of sqrt(x^2+1) is x/(sqrt(x^2+1))

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derivative of

x^{2} + 1

\frac{x}{x ^{2} + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{3 x}{x ^{2} + 6 x + 9} d x

\frac{d}{d x} (in (2 x))

x \to + 3 - lim (\frac{1}{9 - x ^{2}})

\int sin (\frac{nπ x}{a}) d x

\int 8 - x d x

What is the derivative of sqrt(x^2+1) ?
The derivative of sqrt(x^2+1) is x/(sqrt(x^2+1))
What is the first derivative of sqrt(x^2+1) ?
The first derivative of sqrt(x^2+1) is x/(sqrt(x^2+1))