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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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

x = 1 \sum \infty x^{3} e^{- x^{2}}

y^{^{''}} + 64 y = 0, y (0) = 2, y^{^{'}} (0) = 1

(- x y sin (x) + 2 y cos (x)) d x + (2 x cos (x)) d y = 0

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