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Find the points at which the function f(...

Find the points at which the function f(x) = [x] is not continuous in (-1, 4), where [x] is the largest integer function.

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The correct Answer is:
{0, 1, 2, 3}
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Find the points at which the function f(x) = [x] is not continuous in ...

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  2. Find all points of discontinuity of f, where f is defined byf(x)={x^3...

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  3. Dicuss the continuity of the function: f(x)={{:(1+x^(2)", "0lexle1)...

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  4. Differentiate cos{sin(x)^(2)} w.r.t. x.

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  5. Find dy/dx" if "sin^(2)x+cos^(2)y=1.

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  6. If f(x)=x+1 , then write the value of d/(dx)(fof)(x) .

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  7. If f(x)=x+7, and g(x)=x-7, x in R" them find "d/(dx)(fog )(x).

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  8. If y=cosec(cotsqrtx),"then find "dy/dx.

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  9. Differentiate sin(x^(2)+5) w.r.t. x.

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  10. Differentiate sqrt(sin(e^(x))) w.r.t. x.

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  11. If y=log(cose^(x)),"then find "dy/dx.

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  12. Differentiate (x^(2)+3x+4)^(n),n inI w.r.t. x.

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  13. Find dy/dx" when "2x+3y=sinx.

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  14. Find the derivative of the following w.r.t. x : x-y=pi

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  15. Find the derivative of the following w.r.t. x : x^(3)+x^(2)y+xy^(2)+...

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  16. Find the derivative of the following w.r.t. x : 2x+3y=siny

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  17. Find the derivative of the following w.r.t. x : ax+by^(2)=cosy

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  18. Find the derivative of the following w.r.t. x : 1/x-1/y-10=0

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  19. Find the derivative of the following w.r.t. x : y=4/3x^(3//4)

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  20. Find the derivative of the following w.r.t. x : tan^(-1)sqrtx

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