Question #88f84

1 Answer
Jul 20, 2016

We need to calculate both sides of the equation, and find a value c that satisfies it

Explanation:

We calculate first f(2)=2*2^2-3*2+1=3
We then calculate f(0)=2*0^2-3*0+1=1

We then calculate (f(2)-f(0))/(2-0)=(3-1)/(2-0)=1

We calculate now f'(x)=4x-3, and now we need to find a point c where f'(c)=1, that is 4c-3=1, but this means 4c=4, and hence c=1 is the value we are looking for