What is the derivative of sqrt(r) ?

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

What is the first derivative of sqrt(r) ?

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

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derivative of

r

\frac{1}{2 r}

Solution steps

\frac{d}{d r} (r)

Apply radical rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{1}{2 r}

\frac{d}{d x} (- \frac{1}{2} tan (x))

\int \frac{32}{32 + e ^{x}} d x

x^{\frac{3}{2}}

x \to 7 lim (2 - x - 3)

\int e^{x} 39 + e^{x} d x

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