What is the derivative of-6sqrt(s) ?

The derivative of-6sqrt(s) is -3/(sqrt(s))

What is the first derivative of-6sqrt(s) ?

The first derivative of-6sqrt(s) is -3/(sqrt(s))

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derivative of

- 6 s

- \frac{3}{s}

Solution steps

\frac{d}{d s} (- 6 s)

Take the constant out:

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

= - 6 \frac{d}{d s} (s)

Apply radical rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{3}{s}

x \to - 3 lim (\frac{1}{x ^{2} - 9})

\frac{1}{2 + x}, 0

y^{^{''}} + y = 5 sin (x)

\frac{d y}{d x} x - x e^{x} + y = 0

\frac{d y}{d x} = x + 1

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