Question

find the number c that satisfies the conclusion of the Mean Value Theorem for f on the closed interval [1,3]

Answer 1

for what equation ?

Answer 2

depends largely on \(f\)

Answer 3

F(x)= x^3-7x+6

Answer 4

srios can you help me?

Answer 5

\[f(3)=3^3-7\times 3+6=27-21+6=12\]
\[f(1)=1-7+6=0\]
\[f(3)-f(1)=12\]
\[\frac{f(3)-f(1)}{3-1}=\frac{12}{2}=6\]

Answer 6

\(f'(x)=3x^2-7\) set
\[3x^2-7=6\] and solve for \(x\)

Answer 7

Thank you!