What is the derivative of f(t)=sqrt(t) ?

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

What is the first derivative of f(t)=sqrt(t) ?

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

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derivative of

f (t) = 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}

x \to 2 lim (\frac{x}{x + 1})

\int \frac{e ^{- 2 x}}{2} d x

\int \frac{1}{2 + 5 x ^{6}} (30 x^{5}) d x

\int \frac{1}{25 - x ^{2}} d x

f (x) = 9 x^{2} + 6 x - 6

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