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The points on the curve y=12x-x^3 at whi...

The points on the curve `y=12x-x^3` at which the gradient is zero are

A

(0,12),(2,16)

B

(0,-2),(2,-16)

C

(2,-16),(-2,16)

D

(2,16),(-2,-16)

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The correct Answer is:
D
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TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
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  5. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

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  7. e total number of local maxima and local minima of the function f(x) =...

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  8. Let f(x)=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f ...

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  9. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

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  10. Let f be a function defined on R (the set of all real numbers) such th...

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  11. The points on the curve y=12x-x^3 at which the gradient is zero are

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  12. The displacement of a particle at time t is x, where x=t^4-kt^3. IF th...

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  13. If f(x) satifies of conditiohns of Rolle's theorem in [1,2] and f(x) i...

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  14. IF f(x)=x,-1lexle1, then function f(x) is

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  15. If f(x)=x^3+b x^2+c x+d and 0<b^2<c , then f(x) is a strictly increasi...

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  16. Let p(x) be a real polynomial of least degree which has a local maximu...

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  17. Let f(x) be a polynomial of degree four having extreme values at x=1 a...

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  18. if Agt0,Bgt0 and A+B=pi/3 then the maximum value of tanA.tanB is (A) 1...

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  19. A wire of length 2 units is cut into two parts which are bent respe...

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