Posted by saud on Sunday, November 6, 2011 at 1:09am.
Find a point c satisfying the conclusion of the Mean Value Theorem for the following function and interval.
f(x)=x^−1 [1,9]

calculus  MathMate, Sunday, November 6, 2011 at 8:23am
f(1)=1/1=1
f(9)=1/9
The mean slope is ((1/9)1)/(91)= 1/9
Now calculate f'(x)=1/x²
So we need to solve for
f'(x)=1/9
which gives x=3 or 3.
Since only x=3 is on the interval [1,9], this is the only solution, i.e. c=3.
Answer This Question
Related Questions
 calculus  Find a point c satisfying the conclusion of the Mean Value Theorem ...
 calculus  Determine if the Mean Value Theorem for Integrals applies to the ...
 calculus  Determine if the Mean Value Theorem for Integrals applies to the ...
 calculus  verify that the function satisfies the hypothesis of the mean value ...
 Calculus  Let f(x)=5x2+5x−12. Answer the following questions.Find the ...
 Calculus Help Please!!!  does the function satisfy the hypotheses of the Mean ...
 Calculus Help Please!!!  Does the function satisfy the hypotheses of the Mean ...
 Caluclus  [Mean Value Theorem] f(x)=3x^3  4x^2  2x 3 on the closed interval...
 Math11  Hello, I don't know how to do this, please help. Thank you. 1).Does the...
 Math  17) Consider the function f(x)=3x3−3x2+4x+2 Find the average slope ...
More Related Questions