Chapter 3.5, Problem 64E

Gravity. Refer to Problem 62. Find $\frac{dF}{dr}$ and discuss the connection between $\frac{dF}{dr}$and $\frac{dr}{dF}$.

62. Gravity. The equation

$F=G\frac{m_1{m}_2}{r^2}$

is Newton’s law of universal gravitation. G is a constant and F is the gravitational force between two objects, having masses, m₁ and m₂ that are a distance r from each other.

Use implicit differentiation to find $\frac{dr}{dF}$. Assume that m₁ and m₂ are constant.