What is the instantaneous rate of change of f(x)=1/(x-7 ) at x=0 ?
1 Answer
Aug 1, 2016
Explanation:
The
color(blue)"instantaneous rate of change" derives from the value of f'(0).
f(x)=1/(x-7)=(x-7)^-1
rArrf'(x)=-1(x-7)^-2.d/dx(x-7)=-(x-7)^-2 .1=-1/(x-7)^2 and
f'(0)=-1/(0-7)^2=-1/49
