Question

If f(−1) = −3 and f prime of x equals the quotient of 4 times x squared and the quantity x cubed plus 3 , which of the following is the best approximation for f(–1.1) using local linearization?
–7.2
2.8
–1.2
–3.2

Answer 1

f(–1.1) = 4(-1.1)^2 / [(-1.1)^3 + 3]
f(–1.1)  = 4.8 / 1.7
f(-1.1) = 2.8

answer
2.8

Answer 2

Answer:

$-3.2$

Step-by-step explanation:

Linear approximation formula is

$f(x)=f(a)+f'(a)(x-a)$, the value of x is -1.1 and a is $-1$