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The number of points at which the functi...

The number of points at which the function :
`f(x)=|x-0*5|+|x-1|+tanx`
does not have a derivative in the interval `(0,2)` is :

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -MCQs (LEVEL-II)
  1. If f(x) is odd differentiable function defined on (-oo,oo), such that ...

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  2. Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x), where g(x) is continuous. ...

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  3. The number of points at which the function : f(x)=|x-0*5|+|x-1|+tanx...

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  4. The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...

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  5. If x=sectheta-costheta,y=sec^(n)theta-cos^(n)theta, then ((dy)/(dx))^(...

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  6. The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1...

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  7. The differentiable coefficient of x^(6) w.r.t. x^(3) is :

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  8. If y=(sinx)^cosx, then find (dy)/(dx).

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  9. The function f(x)=(x^(2)-1)|x^(2)-3x+1|+cos(|x|) is not differentiable...

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  10. If y=ce^(x//(x-a)), then 1/y(dy)/(dx) is equal to :

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  11. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

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  12. If x=f(t) and y=g(t), then (d^2y)/(dx^2) is equal to

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  13. Derivative of (log x)^(4) is

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  14. If x=e^(y+e^(y+ . . . . .. "to "oo)),xgt0, then (dy)/(dx) is :

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  15. Suppose f(x) is differentiable at x=1 and lim(hto0)(1)/(h)(1+h)=5, the...

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  16. If f is a real valued differentiable function satisfying : |f(x)-f(y...

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  17. If f(x)=||x|-1|, then it is non - derivable at :

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  18. If f:R to T is continuous and differentiable function such that f((1)/...

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  19. If xsiny+ycosx=pi, then the value of y''(0) is :

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  20. The set of points, where f(x)=(x)/(1+|x|) is differentiable, is :

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