If $x ^ { 4 } + y ^ { 4 } = 1$

question 237

Multiple Choice

If $x ^ { 4 } + y ^ { 4 } = 1$ , find an expression for $\frac { d ^ { 2 } y } { d x ^ { 2 } }$ .

• A) \(\frac { y ^ { 2 } } { x ^ { 5 } }\)
• B)
• \(\frac { - x ^ { 2 } } { y ^ { 2 } }\)
• C) \(\frac { - 2 x ^ { 4 } } { y ^ { 4 } }\)
• D) \(\frac { - 2 x ^ { 2 } } { y ^ { 5 } }\)
• E) \(\frac { - 3 x ^ { 2 } } { y ^ { 7 } }\)
• F) \(\frac { - 5 x ^ { 4 } } { y ^ { 9 } }\)
• G) \(\frac { - 6 x ^ { 4 } } { y ^ { 5 } }\)
• H) \(\frac { 6 x ^ { 4 } } { y ^ { 7 } }\)

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