Homework SourseFor a function f continuous on the interval a b and differen
For a function f continuous on the interval [a, b] and differentiable on (a, b).such that f\'© = f(b) - f(a) / b - a Suppose the function under consideration is y=x3 on the interval [1,2]. Find such a number that works in this instance and give a decimal approximation of c ![For a function f continuous on the interval [a, b] and differentiable on (a, b).such that f\'© = f(b) - f(a) / b - a Suppose the function under consideration i](/WebImages/39/for-a-function-f-continuous-on-the-interval-a-b-and-differen-1120332-1761596057-0.webp "For a function f continuous on the interval [a, b] and differentiable on (a, b).such that f\'© = f(b) - f(a) / b - a Suppose the function under consideration i")
Solution
f\'(c)=3c^2=8-c^3/1 c^3+3c^2-8=0 c=1.3 so at x=1.3