Question

1.f(x)=x+1/x2.f(x)=x+sinx3.f(x)=xcosx4.f(x)=2x+3的x方5.f(x)=lo

Answer 1

1.f'(x)=1-1/x²

2.f'(x)=1+cosx

3.f'(x)=cosx+x*(cosx)'=cosx-xsinx

4.f'(x)=2+3^x*ln3

5.f'(x)=1/xln2+2x

6.f'(x)=lnx+x*(lnx)'=lnx+x*1/x=1+lnx

7.f'(x)=[(x-2)²]'/(x+1)-(x-2)²*[1/(x+1)]'=2(x-2)/(x+1)-(x-2)²/(x+1)²

8.f'(x)=[e^x]'/x+e^x*[1/x]'=e^x/x-e^x/x²)=e^x(1/x-1/x²)

都是基本公式和基本运算法则