How do I find the numbers #c# that satisfy Rolle's Theorem for #f(x)=cos(2x)# on the interval #[pi/8,(7pi)/8]# ? Calculus Graphing with the First Derivative Mean Value Theorem for Continuous Functions 1 Answer Jim H Apr 15, 2015 Find #c# in #( pi/8, (7 pi)/8)# to solve #f'(c) = 0#. Since #f'(x) = -2sin(2x)# this amounts to solving # -2sin(2x) = 0# for solutions in #( pi/8, (7 pi)/8)# 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 you give a value of c that satisfies the conclusion of the Mean Value Theorem for... See all questions in Mean Value Theorem for Continuous Functions Impact of this question 8161 views around the world You can reuse this answer Creative Commons License