What is the derivative of f(s)=-(12)/(s^5) ?

The derivative of f(s)=-(12)/(s^5) is (60)/(s^6)

What is the first derivative of f(s)=-(12)/(s^5) ?

The first derivative of f(s)=-(12)/(s^5) is (60)/(s^6)

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derivative of

f (s) = - \frac{12}{s ^{5}}

\frac{60}{s ^{6}}

Solution steps

\frac{d}{d s} (- \frac{12}{s ^{5}})

Take the constant out:

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

= - 12 \frac{d}{d s} (\frac{1}{s ^{5}})

Apply exponent rule:

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

= - 12 \frac{d}{d s} (s^{- 5})

Apply the Power Rule:

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

= - 12 (- 5 s^{- 5 - 1})

Simplify

- 12 (- 5 s^{- 5 - 1}) : \frac{60}{s ^{6}}

= \frac{60}{s ^{6}}

\frac{d}{d x} (x ln (x^{15}))

\frac{1}{27} (9 x^{2} + 6)^{\frac{3}{2}}

x \to \infty lim (\frac{x}{3})

\int \frac{1}{e ^{x} + 1} d x

n = 0 \sum \infty \frac{1}{( 2 n + 1 ) ^{3}}

What is the derivative of f(s)=-(12)/(s^5) ?
The derivative of f(s)=-(12)/(s^5) is (60)/(s^6)
What is the first derivative of f(s)=-(12)/(s^5) ?
The first derivative of f(s)=-(12)/(s^5) is (60)/(s^6)