How do you find the linearization at a=0 of #f(x) = e^(5 x)#?
1 Answer
Nov 29, 2015
Linearization uses the Linear Approximation Method.
#f_T(a) = f(a) + f'(a)(x-a)#
So, let's take the derivative first, since that's one thing we don't have. If we let
Finally, let's plug in
#f_T(0) = f(0) + f'(0)*(x)#
#= e^0 + 5*e^0*(x)#
#= 5x + 1#
So the tangent line is just