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Is this right?

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?

Respuesta :

Yes you have the correct steps and answer. Nice job.

Optionally, you can solve for y to get
2y = 4x-3pi-2
y = (4x-3pi-2)/2
y = 2x-1-(3pi/2)
which is another way to express the equation you got. There are many ways to write the answer. 

Answer:

yes your right

Step-by-step explanation:

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