$\text { What is } P _ { 1 } \text {, a first-degree polynomial function whose value and slope agree with the }$

question 42

Multiple Choice

$\text { What is } P _ { 1 } \text {, a first-degree polynomial function whose value and slope agree with the }$ value and slope of $f ( x ) = 10 \tan ( x )$ at $x = \frac { \pi } { 4 }$ ?

• A) \(P _ { 1 }\) is the tangent line to the curve \(f ( x ) = 10 \tan ( x )\) at the point \(\left( 10 , \frac { \pi } { 4 } \right)\).
• B) \(P _ { 1 }\) is the tangent line to the curve \(f ( x ) = 10 \tan ( x )\) at the point \(\left( \frac { \pi } { 4 } , 10 \right)\).
• C) \(P _ { 1 }\) is the tangent line to the curve \(f ( x ) = 10 \tan ( x )\) at the point \(\left( 13 , \frac { \pi } { 4 } \right)\).
• D) \(P _ { 1 }\) is the tangent line to the curve \(f ( x ) = 10 \tan ( x )\) at the point \(\left( 10 , - \frac { \pi } { 4 } \right)\).
• E) \(P _ { 1 }\) is the tangent line to the curve \(f ( x ) = 10 \tan ( x )\) at the point \(\left( \frac { \pi } { 4 } , - 10 \right)\).

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