Tuesday

January 27, 2015

January 27, 2015

Posted by **saud** on Sunday, November 6, 2011 at 1:09am.

f(x)=x^−1 [1,9]

- calculus -
**MathMate**, Sunday, November 6, 2011 at 8:23amf(1)=1/1=1

f(9)=1/9

The mean slope is ((1/9)-1)/(9-1)= -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 - verify that the function satisfies the hypothesis of the mean value ...

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 dont 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 ...

Calculus - Verify the hypothesis of the mean value theorem for each function ...

calculus - Find the value or values of c that satisfy the equation f(b)-f(a)/b-a...

Calculus - Verify that the hypotheses of the Mean-Value Theorem are satisfied ...