What is the derivative of f(r)= 6/(r^3) ?

The derivative of f(r)= 6/(r^3) is -(18)/(r^4)

What is the first derivative of f(r)= 6/(r^3) ?

The first derivative of f(r)= 6/(r^3) is -(18)/(r^4)

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derivative of

f (r) = \frac{6}{r ^{3}}

- \frac{18}{r ^{4}}

Solution steps

\frac{d}{d r} (\frac{6}{r ^{3}})

Take the constant out:

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

= 6 \frac{d}{d r} (\frac{1}{r ^{3}})

Apply exponent rule:

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

= 6 \frac{d}{d r} (r^{- 3})

Apply the Power Rule:

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

= 6 (- 3 r^{- 3 - 1})

Simplify

6 (- 3 r^{- 3 - 1}) : - \frac{18}{r ^{4}}

= - \frac{18}{r ^{4}}

x \to 2 π lim (x \cdot csc (x))

x^{2} - 12, x - 6

\int_{0}^{1} x + y d y

\int_{3}^{6} (x - 4)^{2} d x

\int 1 - \frac{x ^{2}}{4} d x

What is the derivative of f(r)= 6/(r^3) ?
The derivative of f(r)= 6/(r^3) is -(18)/(r^4)
What is the first derivative of f(r)= 6/(r^3) ?
The first derivative of f(r)= 6/(r^3) is -(18)/(r^4)