Which of the following is the best linear approximation for f (x) = tan (x) near x = 3pi/4?
I used the linearization equation y=f (a) + f' (a) (x-a)
y=f (3pi/4) + f' (3pi/4) (x-3pi/4)
y=tan (3pi/4) + sec^2 (3pi/4) (x-3pi/4)
y = - 1+2 (x-3pi/4)
y = - 1+2x-3pi/2
2y=4x-3pi-2
Is this correct?
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