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Discuss the maxima and minima points of `f(x)=2x^3-3x^2-12 x+15`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the range of f(x)(x^2-x+1)/(x^2+x+1)

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  2. Show that between any two roots of e^(-x)-cosx=0, there exists at leas...

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  3. Discuss the maxima and minima points of f(x)=2x^3-3x^2-12 x+15

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  4. If 2a+3b+6c=0 then the equation ax^2+bx+c=0 has in the interval (0,1)

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  5. A figure is bounded by the curves y=x^2+1, y=0,x=0,a n dx=1. At what p...

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  6. If the equation a x^2+b x+c=0 has two positive and real roots, then pr...

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  7. Find the minimum length of radius vector of the curve (a^2)/(x^2)+(b^...

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  8. Let P(x) be a polynomial with real coefficients such that P(sin^2x)=P(...

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  9. Show that the cone of the greatest volume which can be inscribed in a ...

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  10. If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...

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  11. Find the point at which the slope of the tangent of the function f(x)=...

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  12. Find the equation of the tangent to the curve (1+x^2)y=2-x , where it ...

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  13. An electric light is placed directly over the centre of a circular plo...

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  14. A curve is given by the equation x=sec^(2)theta,y=cottheta. If the tan...

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  15. Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8...

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  16. A square is inscribed in circle of radius R, a circle is inscribed in ...

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  18. Find the equation of the normal to the curve x^3+y^3=8x y at the point...

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