已知函数f(x)=(1/3)x^3_x^2+ax+b的图像在点P(0,f(0))处的切线方程为y=3x_2求实数a,b的值

Question

已知函数f(x)=(1/3)x^3_x^2+ax+b的图像在点P(0,f(0))处的切线方程为y=3x_2
求实数a,b的值

Answer 1

f'(x)=x^2-2x+a
f'(0)=a=3
f(0)=b
切线方程为y=3(x-0)+b=3x+b
b=-2