Homework SourseUse the following information to complete parts a through d
Use the following information to complete parts (a) through (d) below.
f(x)=1/x+1;a=0;1/1.2
Write an equation of the line that represents the linear approximation to the function at a.
L(x)= (slope intercept form)
f(x)=1/x+1;a=0;1/1.2
Write an equation of the line that represents the linear approximation to the function at a.
L(x)= (slope intercept form)
Solution
sol: L(x)=f(0)+[f\'(0)*(x-0)] as f\'(x)= [-1/(1+x)^2)] so f(0)= 1/1=1 f\'(0)= -1 L(x)=f(0)+[f\'(0)*(x-0)] => L(x)=1+[-1*(x-0)] => L(x)= -x+1
