Numerical Value Questions

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  1. 1.

    f(x)=||x|-1|. Number of points of non-differentiability:

  2. 2.

    f(x)=x^3 sin(1/x) for x!=0, f(0)=0. f'(0)=:

  3. 3.

    f(x)=(x-1)(x-2)(x-3)(x-4). f'(x)=0 has exactly how many real roots?

  4. 4.

    f(x)={(e^(1/x)-1)/(e^(1/x)+1), x>0; 0, x=0; (e^(1/x)-1)/(e^(1/x)+1), x<0}. lim(x->0+) f(x) = ?

  5. 5.

    f(x)={ax^2+b, x<1; x+3, x>=1} is differentiable at x=1. Find a+b.

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