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Find the interval in which f(x)=2x^3+3x^...

Find the interval in which `f(x)=2x^3+3x^2-12x+1` is increasing.

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. The time T of of oscillation of a simple pendulum of length l is given...

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  2. If in a triangle ABC, the side c and the angle C remain constant while...

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  3. Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

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  4. Find the interval in which f(x)=x^3-3x^2-9x+30 is strictly increasing ...

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  5. The function f(x)=sin^4x+cos^4x increasing if :

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  6. Let f(x)=int0^xe^t(t-1)(t-2)dt, Then f decreases in the interval

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  7. If f(x)=x.e^(x(1-x)), then f(x) is

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  8. Let f(x)=3x+5 then show f(x) is strictly increasing and f^(-1)(x) exis...

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  9. If alt0, and f(x)=e^(ax)+e^(-ax) Is monotonically decreasing. Find the...

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  10. If f''(x)gt0 and f'(1)=0 such that g(x)=f(cot^2x+2cotx+2), where 0ltxl...

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  11. Using calculus find the order relation between x and tan^(-1) x when "...

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  12. The number of critical points of f(x)=(|x-1|)/X^2 is

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  13. The function f(x)=oversetxunderset(-1)intt(e^t-1)(t-1)(t-2)^3(t-3)^5 d...

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  14. Use the function f(x)=x^(1//x),xgt0 to determine the bigger of the two...

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  15. Show that (x^5-5x^4+5x^3-1) has a local maximum when x = 1, a local mi...

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  16. Find the point on the parabola y^2=2x which is closest to the point (1...

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  17. In a right -angled triangle, prove that r+2R=S.

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  18. Show that the semivertical angle of a cone of maximum volume and of gi...

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  19. Let f(x)={(|x-2|+a^2-9a-9,ifxlt2, 2x-3 ,ifxge2:} Then find value of 'a...

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  20. Find the values of 'm' for which the equation x^4-(m-3)x^2+m=0 has Fo...

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