What is the derivative of sqrt(w) ?

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

What is the first derivative of sqrt(w) ?

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

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derivative of

w

\frac{1}{2 w}

Solution steps

\frac{d}{d w} (w)

Apply radical rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{1}{2 w}

\int x^{3} x d x

x \to 3 + lim (4 - x^{2})

\frac{d}{d x} (a \cdot x + ln (x))

x \cdot \frac{d y}{d x} = 6 y

\int_{0}^{\frac{11}{12}} 22 x d x

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