If g(x)= (ax2+bx+c)sinx + (dx2+ex+f)cosx. Find a,b,c,d,e,f such that g'(x)=x2sinx

Hi harshit

g(x)= (ax²+bx+c)sinx + (dx²+ex+f)cosx

now differtiate

g'(x)=x²acosx -x²dsinx +xcosx(b+2d) +xsinx(2a-e) +cosx(c+e) +sinx(b-f)

 now compair with given g'(x)=x²sinx

a=0

d=-1

b=2

e=0

c=0

f=2