What is the derivative of sqrt(24+x^2) ?

The derivative of sqrt(24+x^2) is x/(sqrt(24+x^2))

What is the first derivative of sqrt(24+x^2) ?

The first derivative of sqrt(24+x^2) is x/(sqrt(24+x^2))

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\frac{d}{d x} (24 + x^{2})

\frac{x}{24 + x ^{2}}

Solution steps

\frac{d}{d x} (24 + x^{2})

Apply the chain rule:

\frac{1}{2 24 + x ^{2}} \frac{d}{d x} (24 + x^{2})

= \frac{1}{2 24 + x ^{2}} \frac{d}{d x} (24 + x^{2})

\frac{d}{d x} (24 + x^{2}) = 2 x

= \frac{1}{2 24 + x ^{2}} \cdot 2 x

Simplify

\frac{1}{2 24 + x ^{2}} \cdot 2 x : \frac{x}{24 + x ^{2}}

= \frac{x}{24 + x ^{2}}

n \to \infty lim (2 n^{2})

\frac{d}{d x} (e^{\frac{- 1}{x}})

x \to 0 lim (1 0^{x})

x \to 3 lim (\frac{x ^{2} - 2}{3 - x})

y = (x^{3} - 4 x)^{10}

What is the derivative of sqrt(24+x^2) ?
The derivative of sqrt(24+x^2) is x/(sqrt(24+x^2))
What is the first derivative of sqrt(24+x^2) ?
The first derivative of sqrt(24+x^2) is x/(sqrt(24+x^2))