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The least function value of function f(x...

The least function value of function f(x) `=ax + b/x` (where, `a gt 0, b gt 0, x gt 0`) is ……………………

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To find the least value of the function \( f(x) = ax + \frac{b}{x} \) where \( a > 0 \), \( b > 0 \), and \( x > 0 \), we will use the method of derivatives. ### Step 1: Find the first derivative of \( f(x) \) The function is given as: \[ f(x) = ax + \frac{b}{x} \] ...
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NCERT EXEMPLAR-APPLICATION OF DERIVATIVES-Application Of Derivatives
  1. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

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  2. 24. Find the intervals in which the following function is (a) increasi...

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  3. The function f:R rarr R be defined by f(x)=2x+cosx then f

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  4. If y=x(x-3)^(2) decreases for the values of x given by

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  5. The function f(x) =4sin^(3)x-6sin^(2)x +12 sinx + 100 is strictly

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  6. Which of the following functions are decreasing on (0,\ pi//2) ? (i) c...

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  7. The function f(x)= tan x - x

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  8. If x is real, then the minimum value of the expression x^2-8x+17 is

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  9. Show that the least value of the function f(x)=x^3-18 x^2+96 x in the ...

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  10. Show that the least value of the function f(x)=2x^3-3x^2-12x+1 on [-2,...

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  11. Show that The maximum value of sinx. cosx in R is 1/2

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  12. At x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x is

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  13. The maximum slope of curve y =-x^(3)+3x^(2)+9x-27 is

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  14. The function f(x)=x^(x) has a stationary point at

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  15. Show that the maximum value of (1/x)^x is e^(1//e) .

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  16. The curves y=4x^(2)+2x-8 and y=x^(3)-x+13 touch each other at the poin...

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  17. The equation of normal to the curve y=tanx at (0,0) is ………………..

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  18. Find the values of ' a ' for which the function f(x)=sinx-a x+4 is inc...

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  19. The function f(x)=(2x^2-1)/x^4, x gt 0decreases in the interval

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  20. The least function value of function f(x) =ax + b/x (where, a gt 0, b ...

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