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I'm ALMOST finished this problem...

To spare you the long story, I need to take the difference between an gravitational acceleration, and the same gravitational acceleration at a slightly larger height.

The two functions are a(r) and a(r+d), where d is very small

Now... VERY SMALL tells me one thing... Taylor expansion. And this is what i have been advised to do.

My only problem is... how do i go about this?

I have the function f(a) = constant/r^2 which is just Newtons inverse square law of gravitation.

Now, i know that the function for a Taylor Series is going to be something like this:

F(x) = f(a) + xf'(a) + x^2/2 * f''(a) + ....

But how do i go about differentiating f(a), and what is x???

Thanks for the help