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The Linear Approximation L(x)L ( x ) To f(x)=tanxf ( x ) = \tan x

Question 16

Multiple Choice

The linear approximation L(x) L ( x ) to f(x) =tanxf ( x ) = \tan x near x0=π4x _ { 0 } = \frac { \pi } { 4 } is


A) 1+2(xπ4) 1 + 2 \left( x - \frac { \pi } { 4 } \right)
B) 12(xπ4) 1 - 2 \left( x - \frac { \pi } { 4 } \right)
C) 1+(xπ4) 1 + \left( x - \frac { \pi } { 4 } \right)
D) 1(xπ4) 1 - \left( x - \frac { \pi } { 4 } \right)
E) 1+2(xπ4) - 1 + 2 \left( x - \frac { \pi } { 4 } \right)

Correct Answer:

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