What is the derivative of sqrt(t) ?

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

What is the first derivative of sqrt(t) ?

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

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derivative of

t

\frac{1}{2 t}

Solution steps

\frac{d}{d t} (t)

Apply radical rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{1}{2 t}

(1.5) (2.8)

\int_{1}^{6} \frac{x ^{2} + 3}{7 x - x ^{2}} d x

\int_{\frac{π}{6}}^{π} sin (x) d x

- \frac{8}{( 1 + 4 x ) ^{2}}

\int \frac{1}{2} + \frac{1}{2} cos (2 x) d x

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