What is the derivative of F(r)= 7/(r^3) ?

The derivative of F(r)= 7/(r^3) is -(21)/(r^4)

What is the first derivative of F(r)= 7/(r^3) ?

The first derivative of F(r)= 7/(r^3) is -(21)/(r^4)

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derivative of

F (r) = \frac{7}{r ^{3}}

- \frac{21}{r ^{4}}

Solution steps

\frac{d}{d r} (\frac{7}{r ^{3}})

Take the constant out:

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

= 7 \frac{d}{d r} (\frac{1}{r ^{3}})

Apply exponent rule:

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

= 7 \frac{d}{d r} (r^{- 3})

Apply the Power Rule:

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

= 7 (- 3 r^{- 3 - 1})

Simplify

7 (- 3 r^{- 3 - 1}) : - \frac{21}{r ^{4}}

= - \frac{21}{r ^{4}}

\int_{0}^{1} 5 ln (4 x) d x

x + 3, \frac{1}{2} x + 3

\frac{d x}{d t} = x e^{t} - 3 e^{t} + x - 3

\int_{0}^{60} 60 e^{- 0.02 x} d x

(0, - 9), (4, - 10)

What is the derivative of F(r)= 7/(r^3) ?
The derivative of F(r)= 7/(r^3) is -(21)/(r^4)
What is the first derivative of F(r)= 7/(r^3) ?
The first derivative of F(r)= 7/(r^3) is -(21)/(r^4)