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Algebra
Question

Error Analysis. Below is the solution (possibly, w...

Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given function \( f ( x ) = \sqrt { 3 x - 7 } \) using the differentiation formulas. Which of the following step(s) is/are the error(s) in the solution? 

i. \( f ^ { \prime } ( x ) = \frac { 1 } { 2 } ( 3 x - 7 ) ^ { \frac { 1 } { 2 } - 1 } ( 3 ) \) 

ii. \( f ^ { \prime } ( x ) = \frac { 3 } { 2 } ( 3 x - 7 ) ^ { \frac { 1 } { 2 } } \) 

iii. \( f ^ { \prime } ( x ) = \frac { 3 } { 2 \sqrt { 3 x - 7 } }\) 

Answer

ii

Solution
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