How do I find the numbers #c# that satisfy the Mean Value Theorem for #f(x)=x/(x+2)# on the interval #[1,4]# ?
1 Answer
Sep 12, 2014
The mean value theorem guarantees that there exists a number
The actual value of
Let us find the left-hand side of the above equation,
By Quotient Rule,
Let us find the right-hand side,
By setting the left-hand side and the right-hand side equal to each other,
by taking the reciprocal,
by multiplying by 2,
by taking the square-root,
by subtracting 2,
Since