Saved Bookmarks
| 1. |
Let f:RtoR be a function such that f(x)=x^(3)+x^(2)f'(1)+xf"(2)+f"(3),xinR. Then f(2) equals: |
|
Answer» 30 f"(3)=6 `f'(x)=3x^(2)+2xf'(1)+f"(2)` `f'(1)=3+2f'(1)+f"(2)` `f'(1)+f"(2)+3=0` …(i) `f"(x)=6x+2f'(1)` f"(2)=12+2f'(1) …(ii) Substitute in (i) `f'(1)+12+2f'(1)+3=0` `rArrf'(1)=-5F"(2)=2` `f(x)=x^(3)-5X^(2)+2x+6` f(2)=2 |
|