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

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

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

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

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derivative of

5 + x^{2}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int e^{- s t} sin (3 t) d t

t \to 0 lim (sin^{t} (t))

y = sin ((π x)^{4})

\frac{\partial}{\partial x} (x^{3} - 7 x^{2} + y^{3} - 5 y)

5 + 3 x

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