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If f(x) = frac {x^2 -1}{x^2 +1}, for ev...

If `f(x)` = `frac {x^2 -1}{x^2 +1}`, for every real x, then the minimum value of f(x) is.

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. The slant side of a right circular cone is l. Show that the semi verti...

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  2. If the function f(x) = ax^3 + b x^2+11x - 6 satisfies conditions of ...

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  3. If f(x) = frac {x^2 -1}{x^2 +1}, for every real x, then the minimum v...

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  4. A ladder 5 m in length is resting against vertical wall. The bottom of...

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  5. Let f (x) and g (x) be differentiable for 0 < x < 1 such f(0)= 0 , g (...

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  6. Let f (x) = x^3-6x^2 +9x +18, then f(x) is strictly decreasing in- A) ...

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  7. If x = -1 and x= 2 are the extreme points of y= alpha log x+ beta x^2...

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  8. The normal to the curve x^2+2xy-3y^2= 0 at (1, 1)

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  9. The equation of the tangent to the curve y=1-e^(x/2) at the point of ...

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  10. If the tangent at (1, 1) on y^2=x (2-x)^2 meets the curve again at P t...

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  11. The approximate value of tan (44^° 30') given that 1^° = 0.0175. A) 0...

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  12. If normal to the curve y = f(x) is parallel to x-axis, then A) dy/dx=...

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  13. The equation of tangent y= x^2 +4x+1 at (-1, 2) is………. A) 2x -y+4=0 B...

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  14. The equation of tangent to the curve y =3x^2-x+ 1 at p (1, 3) is..... ...

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  15. The equation of tangent to the curve y =3x^2-x+ 1 at p (1, 3) is..... ...

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  16. If the curve y=ax^2-6x +b passes through (0,2) and its tangent at x =3...

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  17. The equation of normal to the curve y^2 (2a-x) =x^3 at the point (a, -...

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  18. The points of the curve 9y^2= x^3, where the normal to the curve makes...

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  19. The co-ordinate of the point on the curve y = 6x - x^2, the tangent at...

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  20. The co-ordinate of the point on the curve y= x logx at which the norma...

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