Question

in calculus, is average velocity same as the average rate of change?

Answer 1

average rate of change of position, to be exact

Answer 2

so if the question asks: the displacement of particle moving in a straight line is given this function, and i need to find the average velocity over a time interval, i just need to find the derivative of f(x)?

Answer 3

dertivative of f(x) gets you instantaneous velocity, not average velocity over time interval

Answer 4

That will get you average velocity from x2 to x1
\[\frac { f(x_2)-f(x_1)}{x_2-x_1}\]

Answer 5

oh okay. Thank you so much!

Answer 6

Here's a nice fact you might like:
If a function is continuous on [a, b] and differentiable on (a, b)
For some c \in (a, b)
\[f'(c) = \frac{f(b) - f(a)}{b - a}\]

Answer 7

MVT?

Answer 8

yeah

Answer 9

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