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Differentiate the function.$ F(r) = \frac{5}{r^3} $
$$F^{\prime}(r)=5\left(-3 r^{-4}\right)=-15 r^{-4}=-\frac{15}{r^{4}}$$
00:28
Frank L.
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 1
Derivatives of Polynomials and Exponential Functions
Derivatives
Differentiation
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Hey, it's clear. So when you read here so we have up our is equal to five Aren't the negative third power. We're gonna apply the constant multiple rule which states that when you take the derivative you take the 50 It's gonna be d over. Tr aren't the negative. Third, we applying the power rule to get negative 15 aren't the negative four. This is equal to negative 15 over aren't the fourth.
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