Find the Linear Approximation To $f ( x ) = \frac { 1 } { \sqrt { x ^ { 3 } + 1 } }$

question 69

Multiple Choice

Find the linear approximation to $f ( x ) = \frac { 1 } { \sqrt { x ^ { 3 } + 1 } }$ at $a = 2 .$

• A)-2x + 7
• B) \(\frac { 1 } { 3 } x - \frac { 2 } { 3 }\)
• C) \(- \frac { 2 } { 9 } x + \frac { 7 } { 9 }\)
• D) \(\frac { 1 } { 3 } x - \frac { 7 } { 3 }\)
• E) \(2 x - 7\)
• F)
• \(- \frac { 1 } { 3 } x + \frac { 2 } { 3 }\)
• G)
• \(\frac { 2 } { 9 } x - \frac { 7 } { 9 }\)
• H) \(- \frac { 1 } { 3 } x + \frac { 7 } { 3 }\)

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