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The function f(x)=2x^(3)-3x^(2)-12x+4, h...

The function `f(x)=2x^(3)-3x^(2)-12x+4`, has

A

two points of local maximum

B

two points of local minimum

C

one maxima and one minima

D

no maxima or minima

Text Solution

Verified by Experts

The correct Answer is:
C
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ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
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  3. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

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  4. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

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  5. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

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  6. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

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  7. Find the intervals in which the following functions are (a)increasing ...

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  8. Let f:R to R be defined by f(x)=2x+cosx, then f:

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  9. y=x(x-3)^(2) decreases for the values of x given by :

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  10. The function f(x)=4sin^(3)x-6sin^(2)x+12sinx+100 is strictly

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  11. Which of the following function is strictly decreasing in ( 0, pi/2) ?

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  12. The function f(x) = tanx - x

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  13. If x is real, the maximum value of x^2 -8x + 17 is

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  14. The smallest value of polynomial x^(3)-18x^(2)+96x in [0, 9] is

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  15. The function f(x)=2x^(3)-3x^(2)-12x+4, has

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  16. Find the maximum value of sin x cos x.

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  17. At x=(5pi)/6, f(x)=2sin3x+3cos3x is :

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  18. Find the maximum slope of the curve: y = -x^3 + 3x^2 + 2x - 27

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  19. f(x)=x^(x) has a stationary point at

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  20. The maximum value of (1/x)^(x) is :

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