What is the derivative of f(x)=sqrt(x^2+5) ?

The derivative of f(x)=sqrt(x^2+5) is x/(sqrt(x^2+5))

What is the first derivative of f(x)=sqrt(x^2+5) ?

The first derivative of f(x)=sqrt(x^2+5) is x/(sqrt(x^2+5))

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derivative of

f (x) = x^{2} + 5

\frac{x}{x ^{2} + 5}

Solution steps

\frac{d}{d x} (x^{2} + 5)

Apply the chain rule:

\frac{1}{2 x ^{2} + 5} \frac{d}{d x} (x^{2} + 5)

= \frac{1}{2 x ^{2} + 5} \frac{d}{d x} (x^{2} + 5)

\frac{d}{d x} (x^{2} + 5) = 2 x

= \frac{1}{2 x ^{2} + 5} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 5} \cdot 2 x : \frac{x}{x ^{2} + 5}

= \frac{x}{x ^{2} + 5}

y y^{^{'}} - 16 e^{x} = 0

\frac{d}{d h} (\frac{π}{3} h^{2} (3 r - h))

\frac{d}{d y} (e^{- y^{2}})

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

x^{3} - 6 x^{2} + 5 x

What is the derivative of f(x)=sqrt(x^2+5) ?
The derivative of f(x)=sqrt(x^2+5) is x/(sqrt(x^2+5))
What is the first derivative of f(x)=sqrt(x^2+5) ?
The first derivative of f(x)=sqrt(x^2+5) is x/(sqrt(x^2+5))