Find the Curvature Of $y = x ^ { 4 }$

question 20

Multiple Choice

Find the curvature of $y = x ^ { 4 }$ .

• A) \(\frac { 12 | x | ^ { 2 } } { \left( 1 - 16 x ^ { 6 } \right) ^ { 3 / 2 } }\)
• B) \(\frac { 12 | x | ^ { 2 } } { \left( 1 + 16 x ^ { 6 } \right) ^ { 1 / 2 } }\)
• C) \(\frac { | x | ^ { 2 } } { \left( 1 + x ^ { 6 } \right) ^ { 3 / 2 } }\)
• D) \(\frac { | x | ^ { 2 } } { \left( 1 + 16 x ^ { 6 } \right) ^ { 1 / 2 } }\)
• E) \(\frac { 12 | x | ^ { 2 } } { \left( 1 + 16 x ^ { 6 } \right) ^ { 3 / 2 } }\)

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