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?

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?

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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) (Show Source): You can put this solution on YOUR website!

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

Question specifies , for the AVERAGE rate of change between a and b.

Also specified, a and b to be INTEGERS?
a=-1 and b=1.

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