用求导数定义方法,求出f（x）=x²-1的导数.

用求导数定义方法,求出f（x）=x²-1的导数.
用求导数定义方法,求出f（x）=x²-1的导数.

用求导数定义方法,求出f（x）=x²-1的导数.
f'(x) =lim(h->0)[ f(x+h) -f(x)] /h
=lim(h->0)[ (x+h)^2-1 - x^2 +1 )] /h
=lim(h->0)( 2xh +h^2 ) /h
=lim(h->0)( 2x +h )
=2x