Calculus - Rate of Change

Cheer16 said:
Find the average rate of change of g(t)=cos(t) on the interval [0,pi/2]
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You really need to learn to use your textbook and/or lecture notes.

If \(\displaystyle g(x)\) is a function on \(\displaystyle [a,b]\) then \(\displaystyle \Delta x=b-a\).

The net change of \(\displaystyle g\) on \(\displaystyle [a,b]\) is \(\displaystyle \Delta y=g(a+\Delta x)-g(a)\).

The average rate of change of \(\displaystyle g\) on \(\displaystyle [a,b]\) is \(\displaystyle \dfrac{\Delta y}{\Delta x}=\dfrac{g(a+\Delta x)-g(a)}{\Delta x}\)
 
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