Question

find nth derivative of y =1 /(x+2)(x-1)

Answer 1

Hi Mate!!

1 / ( x+2 ) ( x -1 ) = A / ( x +2 ) + B / ( x -1 )

A + B = 0


And

A + 2B = 1


On solving we get

A = 1 and B = -1

1 / ( x +2 ) -1 / ( x -1 )


Yntn. = N! ( x + 2 ) ^ -( N -1 ) - N! ( x -1 ) ^ -( N -1)


Ynth = N! { 1 / ( x + 2 ) ^ ( N -1 ) - 1 / ( x - 1 ) ^ ( N -1 )