Find the Linearization $L ( x )$ Of the Function At $a$

question 42

Multiple Choice

Find the linearization $L ( x )$ of the function at $a$ .
$f ( x ) = x ^ { 2 / 3 } ; \quad a = 64$

• A) \(\frac { 8 } { 3 } x + \frac { 464 } { 3 }\)
• B) \(\frac { 8 } { 3 } x + \frac { 512 } { 3 }\)
• C) \(\frac { 8 } { 3 } x - \frac { 512 } { 3 }\)
• D) \(\frac { 8 } { 3 } x - \frac { 464 } { 3 }\)

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