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Show that the value in the conclusion of...

Show that the value in the conclusion of the mean value theorem for
`f(x)=1/x` on a closed interval of positive numbers [a, b] is `sqrt(ab)`.

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SURA PUBLICATION-APPLICATIONS OF DIFFERENTIAL CALCULUS-EXERCISE 7.3
  1. Explain why Rolle's theorem is not applicable to the following functio...

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  2. Explain why Rolle's theorem is not applicable to the following functio...

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  3. Explain why Rolle's theorem is not applicable to the following functio...

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  4. Using the Rolle's theorem, determine the values of x at which the tang...

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  5. Using the Rolle's theorem, determine the values of x at which the tang...

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  6. Using the Rolle's theorem, determine the values of x at which the tang...

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  7. Explain why Lagrange's mean value theorem is not applicable to the fol...

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  8. Explain why Lagrange's mean value theorem is not applicable to the fol...

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  9. Using the Lagrange's mean value theorem determine the values of x at w...

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  10. Using the Lagrange's mean value theorem determine the values of x at w...

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  11. Show that the value in the conclusion of the mean value theorem for ...

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  12. Show that the value in the conclusion of the mean value theorem for ...

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  13. A race car driver is racing at 20^(th) km. If his speed never exceeds ...

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  14. Suppose that for a function f(x),f'(x)le1" for all "1lexle4. Show that...

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  15. Does there exist a differentiable function f(x) such that f(0) = -1, f...

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  16. Show that there lies a point on the curve f(x)=x(x+3)e^(pi/2),-3lexle0...

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  17. Using mean value theorem prove that for, agt0,bgt0,|e^(-a)-e^(-b)|lt|a...

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