What is the derivative of sqrt(s) ?

The derivative of sqrt(s) is 1/(2sqrt(s))

What is the first derivative of sqrt(s) ?

The first derivative of sqrt(s) is 1/(2sqrt(s))

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derivative of

s

\frac{1}{2 s}

Solution steps

\frac{d}{d s} (s)

Apply radical rule:

a = a^{\frac{1}{2}}

= \frac{d}{d s} (s^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{2} s^{\frac{1}{2} - 1}

Simplify

\frac{1}{2} s^{\frac{1}{2} - 1} : \frac{1}{2 s}

= \frac{1}{2 s}

\int 400 - x^{2} d x

5 cos (3 x), 5 sin (6 x), [0, \frac{π}{6}]

cos (t + π)

2 x^{3} + 3 x^{2} - 12 x + 9

x \to 0 + lim ((1 - x)^{\frac{1}{x}})

What is the derivative of sqrt(s) ?
The derivative of sqrt(s) is 1/(2sqrt(s))
What is the first derivative of sqrt(s) ?
The first derivative of sqrt(s) is 1/(2sqrt(s))