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The functionf(x)=9x^2-15x-x^3+10 is incr...

The function`f(x)=9x^2-15x-x^3+10` is increasing in

A

`(2//2,oo)`

B

(1,5)

C

`(2//3,5)`

D

`(2//3,3//2)`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)
  1. The functionf(x)=9x^2-15x-x^3+10 is increasing in

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  2. A : In triangle ABC if a,A and R are fixed then Deltaa *sec A +Deltab...

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  3. A : if semivertical angle of a cone is 45^@ and height of the cone is ...

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  4. Assertion (A) : If semi vertical angle of a cone is 45^(@) and height ...

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  5. A : The gradiant of the curve y=x^3-3x^2-2x+7 at (1,3) is -5. R : T...

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  6. A : Area of triangle formed by tangent to the curve xy=c^2 with coordi...

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  7. The curves y=x^3-3x^2-8x-4,y=3x^2+7x+4 touch at the point (-1, 0). The...

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  8. A : The curve y=x^2,6y=7-x^3 cut orthogonally at (1,1) . R : Two cur...

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  9. A :A particle moves along a line is given by s=(t^3)/3 -3t^2+8t+5 .it...

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  10. A : The smallest value of x^2-3x+3 in [-3,3/2] is 3/4 R: The smalles...

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  11. A : The function f(x) =2x^3-3x^2-12x+8 has minimum value R: For the ...

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  12. A : If x+y =12 then the minimum value of x^2+y^2 is 72 R : If x+y=k ...

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  13. Observe the following statements : Asseration (A) : f(x)=2x^3-9x^2+1...

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  14. The function f(x) =xe^(-x)(x in R) attains a maxium value at x= …..

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  15. Consider the functions, f(x) = |x -2 | + |x - 5 |, x in R Statement-1...

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  16. Let a, b in R be such that the function f given by f(x)= ln |x|+bx^(2)...

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