SOLUTION: Find two integers a and b such that the average rate of change of the function f(x)=x^3 between a and b is exactly 3?

Algebra ->  Test -> SOLUTION: Find two integers a and b such that the average rate of change of the function f(x)=x^3 between a and b is exactly 3?      Log On


   

Question 941519: Find two integers a and b such that the average rate of change of the function f(x)=x^3 between a and b is exactly 3?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
df%2Fdx=3x%5E2

At x=a, d/dx is 3a^2;
At x=b, d/dx is 3b^2.

Question specifies %283a%5E2%2B3b%5E2%29%2F2=3, for the AVERAGE rate of change between a and b.

%283%2F2%29%28a%5E2%2Bb%5E2%29=3
a%5E2%2Bb%5E2=2
Also specified, a and b to be INTEGERS?
a=-1 and b=1.