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Find the intervals in which the following functions are increasing or decreasing `f(x)=6x^2-14x`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...

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  2. Draw the graph of f(x)=|(x^2-2)/(x^2-1)| .

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  3. Find the intervals in which the following functions are increasing or ...

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  4. Two towns Aa n dB are 60 km apart. A school is to be built to serve 1...

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  5. Let f(x) be differentiable function and g(x) be twice differentiable f...

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  6. Find the range of f(x)(x^2-x+1)/(x^2+x+1)

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

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

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

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

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

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

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

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

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

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

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

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

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

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