What is the derivative of 6sqrt(t) ?

The derivative of 6sqrt(t) is 3/(sqrt(t))

What is the first derivative of 6sqrt(t) ?

The first derivative of 6sqrt(t) is 3/(sqrt(t))

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derivative of

6 t

\frac{3}{t}

Solution steps

\frac{d}{d t} (6 t)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d t} (t)

Apply radical rule:

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

= 6 \frac{d}{d t} (t^{\frac{1}{2}})

Apply the Power Rule:

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

= 6 \cdot \frac{1}{2} t^{\frac{1}{2} - 1}

Simplify

6 \cdot \frac{1}{2} t^{\frac{1}{2} - 1} : \frac{3}{t}

= \frac{3}{t}

x \to 0 lim (\frac{2 tan ( 2 x )}{x})

n = 0 \sum \infty (\frac{x}{n})^{n}

x \to π - lim (\frac{1}{sin ( x )})

y^{^{'}} = (1 - 2 t) y^{2}

\frac{d}{d x} (x^{3} cos (x^{3}))

What is the derivative of 6sqrt(t) ?
The derivative of 6sqrt(t) is 3/(sqrt(t))
What is the first derivative of 6sqrt(t) ?
The first derivative of 6sqrt(t) is 3/(sqrt(t))