设函数f(x)=arctancr,求f''(0),f'''(0).
f'(x)=1/(1+x2),f''(x)=-2x/(1+x2)2, f'''(x)=2(3x2-1)/(1+x2)3, 由此,得 f''(0)=-2x/(1+x2)2|x=0=0, f'''(0)=2(3x2-1)/(1+x2)3|x=0=-2.
设函数f(x)=arctancr,求f''(0),f'''(0).
f'(x)=1/(1+x2),f''(x)=-2x/(1+x2)2, f'''(x)=2(3x2-1)/(1+x2)3, 由此,得 f''(0)=-2x/(1+x2)2|x=0=0, f'''(0)=2(3x2-1)/(1+x2)3|x=0=-2.