Question

Find the number c that satisfies the conclusion of the Mean Value Theorem.
F(x)=x^3+x-8
[0,2]

Answer 1

solve\[\frac{F(2)-F(0)}{2-0}=F'(c)\] for c

Answer 2

-8-2/-2

Answer 3

=5

Answer 4

so now i find the derivative of the equation and put =5?

Answer 5

5 is correct but you seemed to put it in backwards from what i wrote.

yes...set the derivative of F equal to 5 and solve

Answer 6

is the derivative is 3x^2+1 ?

Answer 7

yes

Answer 8

i dont know what to do from there

Answer 9

solve \(3x^2+1=5\)

Answer 10

\[2/\sqrt{3}\] !!! thank you