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Find the number of solutions of the equa...

Find the number of solutions of the equation `3tanx+x^3=2in(0,pi/4)`

A

1

B

2

C

3

D

infinite

Text Solution

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The correct Answer is:
A
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 2
  1. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

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  2. The point P of the curve y^(2)=2x^(3) such that the tangent at P is p...

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  3. Find the number of solutions of the equation 3tanx+x^3=2in(0,pi/4)

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  4. For the curve by^2=(x+a)^3 the square of subtangent is proportional t...

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  5. Find the point of intersection of the tangents drawn to the curve x...

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  6. The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...

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  7. The function f(x)=2log(x-2)-x^2+4x+1 increases on the interval (a) (1,...

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  8. Find the intervals in which the function f given by f(x)=(4sinx-2x-xc...

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  9. Let f(x)=x^3+ax^2+bx+5sin^2x be an increasing function in the set of r...

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  10. The function f(x) = 3 cos^(4)x + 10 cos^(3) x + 6 cos^(2)x - 3, (0 le ...

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  11. f(x) = 2x^(2) – log | x | (x != 0) is monotonic increasing in the int...

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  12. The minimum value of e^((2x^(2)-2x+1)sin^(2)x) is

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  13. The number of solutions of the equation x^3 +2 x^2 +5 x + 2 cos x = 0 ...

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  14. Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)

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  15. If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) v=sqrt(c) -sqrt(c-1),(...

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  16. f(x)=(sin^(2)x)e^(-2sin^(2)x)*max f(x)-min f(x)=

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  17. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

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  18. L L ' is the latus sectum of the parabola y^2=4a xa n dP P ' is a doub...

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  19. Let y=x^2 e^(-x) then the interval in which y increases with respect t...

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  20. The function log(1+x) - (2x)/(x+2) is increasing in the interval:

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