Question #cd78d Calculus Graphing with the First Derivative Mean Value Theorem for Continuous Functions 1 Answer Jim H Nov 27, 2016 #1/2# Explanation: #f'(x) = (f(1)-f(0))/(1-0)# at #x=1/2# Answer link Related questions What is the Mean Value Theorem for continuous functions? What is Rolle's Theorem for continuous functions? How do I find the numbers #c# that satisfy the Mean Value Theorem for #f(x)=3x^2+2x+5# on the... How do I find the numbers #c# that satisfy the Mean Value Theorem for #f(x)=x^3+x-1# on the... How do I find the numbers #c# that satisfy the Mean Value Theorem for #f(x)=e^(-2x)# on the... How do I find the numbers #c# that satisfy the Mean Value Theorem for #f(x)=x/(x+2)# on the... How do I use the Mean Value Theorem to so #4x^5+x^3+2x+1=0# has exactly one real root? How do I use the Mean Value Theorem to so #2x-1-sin(x)=0# has exactly one real root? How do I find the numbers #c# that satisfy Rolle's Theorem for #f(x)=sqrt(x)-x/3# on the... How do I find the numbers #c# that satisfy Rolle's Theorem for #f(x)=cos(2x)# on the interval... See all questions in Mean Value Theorem for Continuous Functions Impact of this question 1282 views around the world You can reuse this answer Creative Commons License