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Question:

slomt89

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posted by slomt89 on 10/11/2008 9:39:32 PM | status: Live

Derivative

Course	Textbook	Chapter	Problem
Calculus	Calculus (6th) by Stewart	3.7	20

Question Details:

Newton's Law Of Gravitation is defined as

F = (GmM)/r^2.

G is the gravitational constant. m is the body of mass on a body on mass M. r is the distance between the bodies.

How do you find the derivative defined as dF/dr?

Tags: Calculus (6th), Calculus, Calculus

Answers:

lizardking

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posted by lizardking on 10/11/2008 9:46:29 PM | status: Live

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slomt89's comment:

"Ok that makes sense. Thanks so much"

Response Details:

in this question to find the derivative all we have to remember is that everything on the numerator is a constant, so we just have to differentiate the r.

we can rewrite the equation to look like this

and now i will make a substitution to make this expression look more simple
c= GmM , where c is a constant. and we will get as follows

now we just differentiate with respect to r to get as follows, and remember we just leave the constant alone.

and now i will substitute my c back into the expression to get as follows

and that is our final answer

hope it helps

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