Asked by John
Suppose f(x)=ln x.
(a) Find the linear approximation of f at a=1.
L(x)=
(b) Use the linear approximation to estimate ln 1.27.
ln1.27=
(a) Find the linear approximation of f at a=1.
L(x)=
(b) Use the linear approximation to estimate ln 1.27.
ln1.27=
Answers
Answered by
TayB
y = ln x
m = dy/dx = 1/x
at x = 1, m = 1/1 = 1
so
y = x + b
at x = 1, y = ln 1 = 0
so
0 = 1*1 + b
so
b = -1
so
L(x) = x -1
and then i believe you would just plug in ln(1.27) for x. good luck
m = dy/dx = 1/x
at x = 1, m = 1/1 = 1
so
y = x + b
at x = 1, y = ln 1 = 0
so
0 = 1*1 + b
so
b = -1
so
L(x) = x -1
and then i believe you would just plug in ln(1.27) for x. good luck