- #1

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Equation: lim [f(a+h)-f(a)]/h as h approaches 0

I tried this problem and what I came up with for an idea of how to solve this makes absolutely no sense.

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- Thread starter Amber430
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- #1

- 15

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Equation: lim [f(a+h)-f(a)]/h as h approaches 0

I tried this problem and what I came up with for an idea of how to solve this makes absolutely no sense.

- #2

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Have you covered rules for derivatives yet?

- #3

Cyosis

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Do you understand what the formula you were given represents? Normally when you're given a distance function and you want to calculate the average velocity between two time intervals you will calculate s2-s1 divided by the time it took. The smaller you take this "width" of time the closer you get to the instantaneous velocity. Does it make sense now?

- #4

Mark44

Mentor

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What you need to do is to calculate

[tex]\lim_{h \rightarrow 0} \frac{s(4 + h) - s(4)}{h}[/tex]

That will be your instantaneous velocity at t = 4.

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