If y=(x-1)(x+2) (x^2+5 ) (x^4+8 ) , then _ x -1 ( d y d x )=

Step-by-step solution

y=(x-1)(x+2) (x^2+5 ) (x^4+8 ) aligned & d y d x =(x+2) (x^2+5 ) (x^4+8 )+(x-1) (x^2+5 ) (x^4+8 ) & +(x-1)(x+2)(2 x) (x^4+8 )+(x-1)(x+2) (x^2+5 ) (4 x^3 ) & _ x -1 ( d y d x )=(1)(6)(9)+(-2)(6)(9) & +(-2)(1)(-2)(9)+(-2)(1)(6)(-4) & =54-108+36+48=30 . aligned