What is the derivative of sqrt(x^2+10) ?

The derivative of sqrt(x^2+10) is x/(sqrt(x^2+10))

What is the first derivative of sqrt(x^2+10) ?

The first derivative of sqrt(x^2+10) is x/(sqrt(x^2+10))

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derivative of

x^{2} + 10

\frac{x}{x ^{2} + 10}

Solution steps

\frac{d}{d x} (x^{2} + 10)

Apply the chain rule:

\frac{1}{2 x ^{2} + 10} \frac{d}{d x} (x^{2} + 10)

= \frac{1}{2 x ^{2} + 10} \frac{d}{d x} (x^{2} + 10)

\frac{d}{d x} (x^{2} + 10) = 2 x

= \frac{1}{2 x ^{2} + 10} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 10} \cdot 2 x : \frac{x}{x ^{2} + 10}

= \frac{x}{x ^{2} + 10}

\frac{d}{d x} (1.394 (1.006)^{x})

\int \frac{1}{( x ^{2} - 196 ) ^{\frac{3}{2}}} d x

\frac{d}{d x} (arccot (4 x))

\frac{d}{d x} (y^{2} (2 - x) - x^{3})

x^{2} + 2

What is the derivative of sqrt(x^2+10) ?
The derivative of sqrt(x^2+10) is x/(sqrt(x^2+10))
What is the first derivative of sqrt(x^2+10) ?
The first derivative of sqrt(x^2+10) is x/(sqrt(x^2+10))