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Find the interval of monotonicity of y= ...

Find the interval of monotonicity of `y= (1-x +x^(2))/(1 + x + x^(2))`

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MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Question for Previous Year.s B-Architecture Entrance Examination Papers
  1. Find the interval of monotonicity of y= (1-x +x^(2))/(1 + x + x^(2))

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  2. The slope of the normal to curve y= x^(3) - 4x^(2) at (2 , -1) is

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  3. For the curve x = t^2 - 1, y = t^2 - t, the tangent line is perpendicu...

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  4. If f(x) = 4^(sin x) satisfies the Rolle's theorem on [0, pi], then the...

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  5. f(x)=sqrt(25-x^(2)) in [1,5]

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  6. Let f(x) = {(|x-1| + a,"if " x le 1),(2x + 3,"if " x gt 1):} . If f(x)...

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  7. If m be the slope of the tangent to the curve e^(2y) = 1+4x^(2), then

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  8. Let f: (-oo, oo) rarr (-oo, oo) be acontinuous and differentiable func...

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  9. Let f" [1,2] to (-oo,oo) be given by f(x)=(x^(4)+3x^(2)+1)/(x^(2)+1)...

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  10. Let y= f(x) be a curve which passes through (3,1) and is such that nor...

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  11. Let f(x) = {(x "sin" (pi)/(x)",",0 lt x le 1),(0,x =0):} . Then f'(x) ...

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  12. Let f(x) = [1- x^(2)], x in R, where [] is the greatest integer functi...

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  13. A particle is constrained to move along the curve y= sqrtx starting at...

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  14. If the tangent and the normal to x^2-y^2=4 at a point cut off intercep...

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  15. Let f be a differentiable function defined on R such that f(0) =-3. If...

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  16. Let f be a function defined on [-(pi)/(2), (pi)/(2)] by f(x) = 3 cos^(...

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  17. The function f(x) = xe^(-x) has

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  18. Each side of a square is increasing at the uniform rate of 1m/sec. If ...

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  19. Find the rate of change of the volume of a sphere with respect to its ...

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  20. If m is the slope of the tangent to the curve e^(y)=1+x^(2) , then

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  21. f(x) = |x log x|, x gt 0 is monotonically decreasing in

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