Question

已知函数y＝f（x）=根号下x分之1,求f（1）的导数,

Answer 1

解f（x）=1/√x

则f′（x）=（1/√x）′=（x^(-1/2))′=-1/2x^(-1/2-1)=-1/2x^(-3/2)=-1/2*1/x^(3/2)

故f′（1）=-1/2*1/1^(3/2)=-1/2*1/1=-1/2