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Find `dy/dx if y= xtanx`

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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Single Option Correct Type Questions)
  1. Consider function f: R - {-1,1}-> R. f(x)=x/[1-|x|] Then the incorrect...

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  2. Find dy/dx if 2y-e^x=6

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  3. The total number of points of non-differentiability of f(x) = min[|sin...

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  4. The function f(x)=[x]^2-[x^2] is discontinuous at (where [gamma] is t...

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

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  6. If f(x) = {{:((1)/(e^(1//x))",",x ne 0),(0",",x = 0):} then

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  7. Given f(x) = (e^(x)-cos 2x - x)/(x^(2)),"for x" in R-{0} g(x) = {{:(f...

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  8. The function g(x) = {{:(x+b",",x lt 0),(cos x",",x ge 0):} can be made...

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  9. The graph of function f contains the point P(1, 2) and Q(s, r). The e...

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  10. Consider f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx...

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  11. If f(x+y) = f(x) + f(y) + |x|y+xy^(2),AA x, y in R and f'(0) = 0, then

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  12. Let f(x) = max{|x^2 - 2 |x||,|x|} and g(x) = min{|x^2 - 2|x||, |x|} th...

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  13. If x dy = y (dx + y dy), y > 0 and y (1) = 1, then y (−3) is equal t...

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  14. Let f(x) be continuous and differentiable function for all reals and f...

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  15. Let [x] be the greatest integer function f(x)=(sin(1/4(pi[x]))/([x])) ...

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  16. If f(x) = {{:(b([x]^(2)+[x])+1",","for",x gt -1),(sin(pi(x + a))",","f...

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  17. If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

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  18. Number of points of non-differentiability of the function g(x) = [x^2...

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  19. Find dy/dx if y= xtanx

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  20. If f((x)/(y))=(f(x))/(f(y)) forall x, y in R, y ne 0 and f'(x) exists ...

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