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The function f(x)=4 sin^(3)x-6 sin^(2)x+...

The function `f(x)=4 sin^(3)x-6 sin^(2)x+12 sin x + 100` is strictly …………

A

increasing in `(pi,(3pi)/(2))`

B

decreasing in `((pi)/(2),pi)`

C

decreasing in `[-(pi)/(2), pi]`

D

decreasing in `[0, (pi)/(2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE TYPE QUESTIONS)
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  2. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

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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 tangent to the curve x=t^(2)+3t-8, y=2t^(2)-2t-5 at the p...

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  6. The two curve x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0 intersect at an ...

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  7. The interval on which the function f(x)=2x^(3)+9x^(2)+12x-1 is decreas...

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  8. Let the f : R to R be defined by f(x)=2x+cos x, 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)=4 sin^(3)x-6 sin^(2)x+12 sin x + 100 is strictly ………...

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  11. Which of the following functions is decreasing on (0, (pi)/(2)).

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  12. The function f (x) = tan x-x ………..

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  13. If x is real, the minimum value of x^(2)-8x+17 is …………. (Where x in R)

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  14. The smallest value of the 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. The maximum value of sin x.cos x is ………….

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  17. At x=(5pi)/(6), f(x)=2 sin 3x + 3 cos (3x) is ……………

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  18. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is ………….

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

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  20. The maximum value of f(x)=((1)/(x))^(x) is …………

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