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Discuss the applicability of Rolle's the...

Discuss the applicability of Rolle's theorem for the following
functions: `f(x) = (x-1)(2x-3)` , `x in (1,4)`

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Verify Rolle's theorem for the following functions: f(x) = x^2 -5x +9,...

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  2. Verify Rolle's theorem for the following functions: f(x) = sin x + cos...

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  3. Discuss the applicability of Rolle's theorem for the following funct...

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  4. Discuss the applicability of Rolle's theorem for the following funct...

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  5. Verify LMVT for the following functions: f(x) = x+1/x, x in (1,3)

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  6. Find c, if LMVT is applicable for f(x)= x(x-1)(x-2), x in (0, frac{1...

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  7. Test whether the following functions are increasing or decreasing: f(x...

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  8. Test whether the following functions are increasing or decreasing: f(x...

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  9. Find the values of x, such that f(x)= 2x^3 -15x^2 +36x +1 is an increa...

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  10. Find the values of x, such that x^2+ 2x - 5 is an increasing function

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  11. Find the values of x, for which f(x) = x^4 + 2x^3 + 1 is a decreasing ...

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  12. Find the values of x, such that f(x) = 2x^3- 15x^2 -84x-7 is a decreas...

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  13. Show that the function f(x) = frac {4x^3 +1 }{x} is a decreasing func...

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  14. Divide the number 20 into two parts such that their product is maximum...

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  15. A metal wire of 36 cm long is bent to form a rectangle. Find its dimen...

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  16. A rectangular sheet of paper has area 24 sq. meters. The margin at t...

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  17. The frequency of a sound wave is n and its velocity is v. If the frequ...

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  18. An open cylindrical tank whose base is a circle is to be constructed ...

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  19. A manufacture can sell x items at the rate of ₹ (330-x) each. The cos...

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  20. Find the co-ordinates of the points on the curve 4y=x^2, which are n...

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