Question

若連續(xù)且不恒等于的零的函數(shù)f（x）滿足f′（x）=3x²-x（x∈R），試寫出一個(gè)符合題意的函數(shù)f（x）=______

Answer 1

∵(x3-

1

2

x2+c)′=(x3)′-

1

2

(x2)′+c′=3x²-x
∴f（x）=x3-

1

2

x2+c
故答案為x3-

1

2

x2+c