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Filename: controllers/calculator.php

Line Number: 37

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approximation. Linear approximation is calculated by the linear approximation formulaf(x) = f(x

x

as linear approximation calculator.

Given f(x) = 3x

x

f'(x) = 6x <- f'(4) = 6*4 = 24.

f(x) = 48 + 24(x - 4)

f(x) = 48 + 24x - 96

f(x) = 24 x - 48.

Given f(x) = 2 x + 1 and the x approaches 3.

<-x

<-f'(x) = 2<- f'(3) = 2.

<-f(x) = 7 + 2(x - 3)

<-f(x) = 7 + 2 x - 6;

f(x) = 2x + 1