The Reciprocal Rule (a) The Reciprocal Rule says that at any point where the function v(x) is differentiable and different from zero, d/dx (1/v)=−1/v2 dv/dx. Show that the Reciprocal Rule is a special case of the Quotient Rule. (b) Show that the Reciprocal Rule and the Product Rule together imply the QuotientRule.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.