Asked by Manny
Find the linear approximation of f(x)=ln x at x=1
where L(x)=
where L(x)=
Answers
Answered by
Damon
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
y = x - 1
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
y = x - 1
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