Find the derivative of the function(x2 -4x+5)(x3-2) with respect to x?
y = (x2 -4x +5)(x3 -2 )
= (x2 -4x +5) . d/dx (x3 -2) + (x3 -2) d/dx (x2 -4x +5)
= (x2 -4x +5) . (3x2 ) + (x3 -2) . (2x -4)
= 3x4 - 12x3 +15x2 + 2x4 -4x -4x3 + 8
= 5x4 -16x3 + 15x2 -4x +8