如下图所示,用基本求导公式做
(1)
f(x)
= (x^4 +√x -1)/x^(2/3)
= x^(10/3) + x^(-1/6) - x^(-2/3)
f'(x)
=(10/3)x^(70/3) -(1/6)x^(-7/6) +(2/3) x^(-5/3)
(2)
f(x)= e^x.cosx
f'(x)
= e^x. (-sinx) + cosx. e^x
= (cosx - sinx).e^x
(3)
f(x) =lnx.arctanx
f'(x)
=(1/x).arctanx + lnx/(1+x^2)