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Numerical Value Questions

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  1. 1.

    If y = sin^(-1)((5x+12*sqrt(1-x^2))/13), then dy/dx for |x| < 1 equals:

  2. 2.

    If y = x^(x^x), then (1/y)*dy/dx at x = 1 equals:

  3. 3.

    If x*sqrt(1+y) + y*sqrt(1+x) = 0, then (1+x)^2 * dy/dx equals:

  4. 4.

    If x = a(t + sin t), y = a(1 - cos t), then d^2y/dx^2 at t = pi/2 equals:

  5. 5.

    If y = e^(x^2) * x^(e^x), then (ln y) equals:

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