precalculas
posted by katrina .
Given the function f(x)= 4+4x^2, calculate the following values:
[f(a+h)f(a)]/h

You will have to pick a value of a and of h. If you want a general expression for
[f(a+h)f(a)]/h with that function, it would be
[4(a+h)^2  4a^2]/h
= (8ah +h^2)/h
= 8a +4h
Note that it approaches a constant 8a when h>0
That is called the derivatve of the fucntion at a.
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