Continuity and ...

If y = tan^-1 (2x/1 - x²) + cos^-1 (1 - x²/ 1 + x²), then dy/dx =

If y = ae^mx + be^-mx, then d²y/dx² =

d / dx { cos^-1 (1 - x² / 1 + x²)} =

d/dx [sin^-1 {2x /(1 + x²)}] =

If y = sin^-1 (1 - √x / 1 + √x) + sec^-1 (1 + √x / 1 - √x) , then dy/dx (x ≠ 1) is

The set of points where the function f (x) = |x -1|* e^x is differentiable is

A function f(x) is differentiable at x = a if

Let f(x) be a polynomial function of secong degree. If f(1) = f(-1) and a₁ ,a₂ , a₃ are in AP then df(a₁ )/dx, df(a₂ )/dx, df(a₃ )/dx are in

Derivative of cos(x + y) is