maddyb18 maddyb18

23-12-2016
Mathematics

Answered

If f(-1) = -3 and f'(x)= (4x^2)/(x^3 +3) , which of the following is the best approximation for f(-1.1) using local linearization?

A-7.2
B2.8
C-1.2
D-3.2

Verified Answer :

Balzano Balzano

23-12-2016

Linear approximation equation is
f(x)=f(a)+f'(a)(x-a)
f(-1.1)=f(-1)+f'(-1)(-1.1-(-1))
f(-1.1)=-3+2(-1.1+1)=-3-0.2=-3.2

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