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f(x)={|x+1|;xlt=0x ;x >0 and g(x)={|x|+...

`f(x)={|x+1|;xlt=0x ;x >0` and `g(x)={|x|+1;xlt=1-|x-2|;x >1` Draw its graph and discuss the continuity of `f(x)+g(x)dot`

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. If f is a periodic function then

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  2. If f(x+y)=f(x)f(y) for all x and y and f(X)=1+g(x)G(x) where lim(xto 0...

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  3. f(x)={|x+1|;xlt=0x ;x >0 and g(x)={|x|+1;xlt=1-|x-2|;x >1 Draw its g...

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  4. (tanx)^(y)=(tany)^(x) find dy/dx

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  5. If f(x+2)=(x+3)^(2)-2x, then f(x)=

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  6. Solve : log4(log3(log2x))=0

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  7. If x = a cos^(3) theta, y = a sin ^(3) theta then sqrt(1+((dy)/(dx))^(...

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  8. If y =tan ^(-1)((x ^(1//3) -a^(1//3))/(1+x ^(1//3)a ^(1//3))), x gt 0,...

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  9. If x^2+x y+y^2=7/4, then (dy)/(dx) at x=1 and y=1/2 is:

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  10. Let y=sqrt(x+sqrt(x+sqrt(x+...oo)))," then "(dy)/(dx) is equal to

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  11. If f' (x) = sin (log x) and y = f((2x+3)/(3- 2x)), " then " (dy)/(...

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  12. If y=sin^(-1)(cos x)+cos^(-1)(sin x), prove that (dy)/(dx)=-2

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  13. If x=sin theta and y=cos^(3) then 2y(d^(2)y)/(dx^(2))+4((dy)/(dx))^(2)...

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  14. If u=3x^(12) and v=x^(6) then (du)/(dv) is

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  15. If x=e^(-t^(2)), y=tan^(-1)(2t+1), then (dy)/(dx)=

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  16. If x^y y^x=1 , prove that (dy)/(dx)=-(y(y+xlogy))/(x(ylogx+x))

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  17. If x = t + (1)/(t) "and " y = t - (1)/(t) . "then" (dy)/(dx) is equa...

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  18. Let f(x)=m ax{2 sin x,1-cosx},x epsilon (0,pi). Then set of points of ...

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  19. Differential coefficient of (x^((1+m)/(m-n)))^((1)/(n-1)).(x^((m+n)/(l...

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  20. Let f (x) be a polynomial in x. The second derivative of f (e ^(x)) w...

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