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Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[...

Given `f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0` `h(x)={x},k(x)=5^((log)_2(x+3))` Then in [0,1], lagranges mean value theorem is not applicable to (where [.] and {.} represents the greatest integer functions and fractional part functions, respectively). `f` (b) `g` (c) `k` (d) `h`

A

f

B

g

C

k

D

h

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CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Multiple)
  1. Points on the curve f(x)=x/(1-x^2) where the tangent is inclined at an...

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  2. For the curve y=ce^(x//a) , which one of the following is incorrect?

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  3. Let the parabolas y=x(c-x) and y=x^2+a x+b touch each other at the poi...

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  4. The angle formed by the positive Y-axis and the tangent to y=x^2+4x-17...

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  5. Which of the following pair(s) of curves is/are ortogonal?

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  6. The coordinates of the point(s) on the graph of the function f(x)=(x^3...

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  7. The abscissa of a point on the curve x y=(a+x)^2, the normal which cut...

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  8. The angle between the tangents at any point P and the line joining P t...

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  9. If OT and ON are perpendiculars dropped from the origin to the tanget ...

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  10. Let C(1):y=x^(2)sin3x,C(2):y=x^(2)and C(3):y=-y^(2), then

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  11. If the line x cos theta+y sin theta=P is the normal to the curve (x+a)...

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  12. Common tagent (s) to y=x^(3)and x=y^(3) is/are

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  13. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

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  14. Let f(x)=a5x^5+a4x^4+a3x^3+a2x^2+a1x , where ai ' s are real and f(x)=...

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  15. Which of the following is/are correct ?

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  16. Among the following, the function (s) on which LMVT theorem is applica...

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  17. Let f(x) be a differentiable function and f(alpha)=f(beta)=0(alpha< be...

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