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Find the maximum and the minimum values, if any, of the function given by `f(x)=x ,x in (0,1)`

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To find the maximum and minimum values of the function \( f(x) = x \) for \( x \) in the interval \( (0, 1) \), we will follow these steps: ### Step 1: Identify the function and its interval The function given is: \[ f(x) = x \] and we are considering it over the interval: ...
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NCERT ENGLISH-APPLICATION OF DERIVATIVES-SOLVED EXAMPLES
  1. Find the maximum and the minimum values, if any, of the function f gi...

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  2. Find all points of local maxima and local minima of the function f gi...

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  3. Find the maximum and the minimum values, if any, of the function give...

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  4. Let f(x)=3x^(4)+4x^(3)-12x^(2)+12. Find local maximum and minimum valu...

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  5. Find all the points of local maxima and local minima of the function ...

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  6. Find all the points of local maxima and local minima of the function ...

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  7. Find local minimum value of the function f given by f(x)=3+|x|,x in R...

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  8. Let AB and CD be two vertical poles at point A and B , respectively ,...

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  9. If the length of three sides of a trapezium other than the base is 1...

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  10. Find two positive numbers whose sum is 15 and the sum of whose square...

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  11. Find the shortest distance of the point (0, c) from the parabola y=x^2...

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  12. Prove that the radius of the right circular cylinder of greatest cu...

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  13. Find the absolute maximum and minimum values of a function f given ...

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  14. Show that the function f(x) = cos x (i) is strictly decreasing funct...

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  15. Prove that the function f given by f(x)=x^3-3x^2+4x is strictly increa...

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  16. Show that the function given by f(x) = 7x-3is strictly increasing on ...

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  17. The total revenue received from the sale of units of a product is...

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  18. The total cost C(x) in Rupees, associated with the production of x u...

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  19. The length x of a rectangle is decreasing at the rate of 3 cm/minute ...

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  20. A stone is dropped into a quiet lake and waves move in a circle at ...

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