Question

Find the linearization of the function given below at the specified point.
f(x) = 2 ln(x) at a = 1

Answer 1

f'(x)=2*1/x
f'(1)=2*1/1=2 is slope
we know a point on this line (1,f(1)=2ln(1)=2(0)=0)=(1,0)
y=mx+b
0=2*1+b
-2=b
y=2x-2
L(x)=2x-2