Question

Find the instantaneous rate of change for the function:



f (x) = (4x)^3 - (2x)^2 - 5





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Answer 1

Answer:

f (x) = (4x)^3 - (2x)^2 - 5

f(x)-f(2)/x−2

lim x→2

f(x)−f(2)/x−2=lim x→2

[4x.x.x+2x−3]−[4(2)3+2(2)−3]/x−2=

lim

x→2

4x3+2x−3−33−2=lmx→2 4x3+

−3

−

2