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2x^(3) - 6x + 5 is an increasing functio...

`2x^(3) - 6x + 5` is an increasing function, if

A

`0ltxlt1`

B

`-1lexle1`

C

`xlt-1` or `xgt1`

D

`-1ltxlt1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-EVALUATION TEST
  1. 2x^(3) - 6x + 5 is an increasing function, if

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  2. If 27a+9b+3c+d=0 then the equation 4ax^(3)-3bx^(2)+2cx+0 has at leat ...

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  3. If the curve y=x^(2)+bx +c touches the line y = x at the point (1,1),...

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  4. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

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  5. The greatest value of the function f(x)=tan^(- 1)x-1/2logx in [1/(sqrt...

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  6. IF alpha+beta=pi/2, then cosalpha cos beta has a maximum value at beta...

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  7. Prove that the segment of the tangent to the hyperbola y = (c )/(x) w...

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  8. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

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  9. The maximum value of f(x)=sinx(1+cosx) is

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  10. The minimum value of f(x)=sin^4x+cos^4x,0lexlepi/2 is

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  11. The minimum value of 2^(x^2-3)^(3+27) is 2^(27) (b) 2 (c) 1 (d) ...

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  12. If the function f(x)=3 cos |x| -6 ax +b increases for all x in R then ...

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  13. The minimum value of a^2sec^2x+b^2cosec^2x,0ltaltb,is

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  14. The function y=(ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then fin...

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  15. if 0ltalphaltbetaltpi/2 , then

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  16. The two curves y=3^x and y=5^xintersect at an angle

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  17. If alpha and beta (alpha lt beta) are two different real rootsof the e...

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  18. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

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  19. If the function f(x)=x^3-12ax^2+36a^2x-4(agt0) attains its maximum a...

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  20. Verify Rolle's theorem for each of the following functions : f(x) = ...

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  21. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

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