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Which of the following holds true for "x...

Which of the following holds true for `"x"in[0,pi/2)`

A

`x-(x^2)/3lesinxlex`

B

`x-(x^3)/3gesinxgex`

C

`2sinx+tanxge3x`

D

`2sinx+tanxle3x`

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The correct Answer is:
A
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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
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  2. For all theta in [0,pi/2] show that cos(sintheta)gtsin(costheta)

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  3. Which of the following holds true for "x"in[0,pi/2)

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  4. The maximum value of ((logx)/x)is

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  5. The minimum value of (x^2+250/x) is

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  6. The minimum value of f(x)=3x^4-8x^3-48x+25 on [0.3] is

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  7. The maximum value of f(x)=(x-2)(x-3)^2 is

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  8. The points for which the function f(x)=underset1overset"x"int{2(t-1)(t...

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  9. Find the shortest distance between the curve x^2+y^2=4 and the point (...

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  10. The minimum value of the function f(x)=2|x-2|+5|x-3| for all "x"inR is

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  11. The total number of local maxima and local minima for the function ...

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  12. Let f(x)={(absx, "for",0ltabsxlt=2),(1, "for",x=0):} Then ,at x = 0...

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  13. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

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  14. If line ax+by+c=0 is normal to the curve xy+5=0 then a and b are of :

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  15. If the tangent at (x0,y0) to the curve x^3+y^3=a^3 meets the curve aga...

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  16. If x/a+y/b=2 touches the curve x^n/a^n+y^n/b^n=2 at the point (alpha,b...

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  17. The ength of substangent to the curve y=e^(x//a) is :

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  18. The length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) ...

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  19. Between any two real roots of the equation e^xsinx-1=0, the equation e...

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  20. The value of 'c' of Rolls's throrem is applicable to the function f(x)...

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