What is the derivative of f(x)=sqrt(x^2+6) ?

The derivative of f(x)=sqrt(x^2+6) is x/(sqrt(x^2+6))

What is the first derivative of f(x)=sqrt(x^2+6) ?

The first derivative of f(x)=sqrt(x^2+6) is x/(sqrt(x^2+6))

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derivative of

f (x) = x^{2} + 6

\frac{x}{x ^{2} + 6}

Solution steps

\frac{d}{d x} (x^{2} + 6)

Apply the chain rule:

\frac{1}{2 x ^{2} + 6} \frac{d}{d x} (x^{2} + 6)

= \frac{1}{2 x ^{2} + 6} \frac{d}{d x} (x^{2} + 6)

\frac{d}{d x} (x^{2} + 6) = 2 x

= \frac{1}{2 x ^{2} + 6} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 6} \cdot 2 x : \frac{x}{x ^{2} + 6}

= \frac{x}{x ^{2} + 6}

\int \frac{1}{y - y ln ( y )} d y

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\frac{d}{d x} (1000 (sin (x)) (e^{- 2 x}))

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What is the derivative of f(x)=sqrt(x^2+6) ?
The derivative of f(x)=sqrt(x^2+6) is x/(sqrt(x^2+6))
What is the first derivative of f(x)=sqrt(x^2+6) ?
The first derivative of f(x)=sqrt(x^2+6) is x/(sqrt(x^2+6))