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Discuss the extremum of `f(x)={x^2+x^-2}`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. Let f(x)a n dg(x) be two differentiable functions in R a n d f(2)=8,g(...

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  3. Discuss the extremum of f(x)={x^2+x^-2}

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  4. Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot

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  5. Find the maximum value and the minimum value of 3x^4-8x^3+12 x^2-48 x+...

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  6. Find the value of the x^2+7xy+y^2, when x=-2, y=-5

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  7. Discuss the global maxima and global minima of f(x)=tan^(-1) x- (log)e...

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  8. Suppose alpha,beta a n d theta are angles satisfying 0 < alpha < thet...

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  9. Find the range of the function f(x)=2sqrt(x-2)+sqrt(4-x)

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  10. Let f be continuous on [a , b],a >0,a n d differentiable on (a , b)dot...

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  11. Discuss the extremum of f(x)=2x^3-3x^2-12 x+5 for x in [-2,4] and the ...

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  12. Two men Pa n dQ start with velocity u at the same time from the juncti...

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  13. Discuss the extremum of f(x)=1+2sinx+3 cos^2x ,0lt=xlt=(2pi)/3

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  14. x and y are the sides of two squares such that y=x-x^2 Find the rate o...

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  15. Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

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  16. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

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  17. How many roots of the equation 3x^(4) + 6x^(3) + x^(2) + 6x + 3 = 0 ar...

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  18. Two cyclists start from the junction of two perpendicular roads, there...

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  19. Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and ...

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  20. Tangent of an angle increases four times as the angle itself. At what ...

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