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Find the number of local maxima and loca...

Find the number of local maxima and local minima points in `f(x) = 2x^(3) - 3x^(2) - 12x + 4`.

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The correct Answer is:
Number of local maxima = 1 and number of local minima = 1
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ARIHANT PUBLICATION-APPLICATION OF DERIVATIVES -QUESTION FOR PRACTICE PART - IV (SHORT ANSWER TYPE QUESTIONS )
  1. Find all the points of local maxima and local minima of the function ...

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  2. Find the number of local maxima and local minima points in f(x) = 2x^(...

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  3. Show that (x^(5) - 5x^(4) + 5x^(3) - 1) has local maximum value when x...

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  4. Find the points at which the function f given by f(x) = (x - 2)^(4) (x...

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  5. Find the maximum and minimum values, if any of the following functions...

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  6. Find the local maximum and local minimum values of ((x - 1)(x-6))/(x-1...

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  7. Find the local maximum and local minimum values of the function f(x) =...

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  8. Prove that the maximum value of ((1)/(x))^(x)"is e"^((1)/(e)).

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  9. Find the point of local maxima and local minima of the function f(x) =...

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  10. Find the local maximum and local minimum value of the function f(x) ...

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  11. Find the maximum and minimum values of f(x) = sec x + log cos^(2)x, 0 ...

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  12. Show that sin^(P) theta cos^(q) theta attains a maximum value, when th...

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  13. Find the absolute maximum and minimum values of f(x) = 2x^(3) - 24x + ...

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  14. Find the difference between the greatest and least values of the funct...

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  15. Find the absolute maximum and absolute minimum values of the function ...

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  16. Find two positive numbers whose sum is 16 and the sum of whose squares...

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  17. Prove that the largest rectangle with a given perimeter is a square.

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