The cofficient of `x^2` in `x/((x-1)(x-2))` is

The cofficient of x^(n) in (x)/((x-a)(x-b)) is (a^(n)-b^(n))/(a-b)xx(1)/(a^(n)b^(n))

Cofficient of x^6 in (e^(ix)+e^(-ix))/2 is

The cofficient of x^5 in the series e^(-2x) is ………………….. .

The differential cofficient of a^(sin^(-1)x)w.r.t sin^(-1)x is -

The differential cofficient of a^(sin^(-1)x)w.r.t sin^(-1)x is -

If f(x)=det[[x-2,(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+2)^(3) then coefficient of x in f(x), is ]]

Find the cofficient of x^(50) In (1+x)^(101) x(1-x+x^(2))^(100) .

The cofficient of x^6 in the tower series expansion of (x^4 - 12x^2 + 7)/((x^2 + 1)^3) is