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{1}{5 x ^{3.3}}) d x

\int \frac{12}{( 36 x ^{2} + 1 ) ^{2}} d x

ln (3 x^{2})

h (x) = 3 e^{x} - 7 x, (0, 3)

\frac{d}{d x} (e^{t a n (3 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))