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If y = 4x-(x^2)/(2), when 'x' denotes th...

If `y = 4x-(x^2)/(2)`, when 'x' denotes the number of hours worked and y denotes the amount (in Rs) earned. Then find the value of 'x' (in interval) for which the income remains increasing ? Explain the importance of earning in life?

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the intervals in which the function given by f(x) = sin 3x, x in ...

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  2. Which of the following functions are strictly decreasing on ( 0, pi/2 ...

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  3. If y = 4x-(x^2)/(2), when 'x' denotes the number of hours worked and y...

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  4. If x> - 1 , show that x/(sqrt(1+x))-log(1+x) + 9 is an increasing func...

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  5. Find the slopes of the tangents to the following curves: y=3x^2 at x =...

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  6. Find the slope of the tangent to the curve y = x^3-x at x=2

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  7. Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .

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  8. Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .

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  9. Find the slope of the tangent to the curve y = (x-1)/(x-2) at x = 10.

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  10. Find the slope of the tangent to the curve y = x^3-3x+2 at the point w...

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  11. Find the slope of the tangent to the curve y = x^3-x^2+1 at the point ...

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  12. Find the slope of the tangent to the curve: y = 3x^2 - 6x at the point...

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  13. Find the slope of the tangent to the curve: y=x^3 - 2x+8 at the point ...

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  14. Find the slope of the normal to the curve: y=2x^2 - 1 at (1,1)

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  15. Find the slope of the tangent to the curve y = x^3-x^2+1 at the point ...

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  16. Find the slope of the tangent to the curve: y = tan^2x+sec x at x = pi...

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  17. Find the slope of the tangent to the curve: x = a(theta-sintheta), y =...

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  18. Find the slope of the tangent to the curve: x = 1-a sintheta, y = b co...

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  19. Find the slope of the tangent to the curve: x=acos^3theta, y = asin^3 ...

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  20. Find the equations of the tangent line to the curve: y = 2x^2 + 3y^2 =...

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