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

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To find the maximum and minimum values of the function \( f(x) = |x| \) for \( x \in \mathbb{R} \), we can follow these steps: ### Step 1: Understanding the Function The function \( f(x) = |x| \) represents the absolute value of \( x \). This means that: - For \( x \geq 0 \), \( f(x) = x \) - For \( x < 0 \), \( f(x) = -x \) ### Step 2: Analyzing the Function ...
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NCERT ENGLISH-APPLICATION OF DERIVATIVES-SOLVED EXAMPLES
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  2. Find the approximate change in the volume V of a cube of side x meter...

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  4. Find the maximum and the minimum values, if any, of the function f gi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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