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I'm unable to match the correct ans here plz help

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Asked by vishakhachandan026 11th May 2019, 2:47 PM
Answered by Expert
Answer:
begin mathsize 16px style straight y equals cube root of fraction numerator straight x over denominator left parenthesis straight x to the power of 4 minus 1 right parenthesis to the power of 4 end fraction end root
straight y equals open parentheses fraction numerator straight x over denominator left parenthesis straight x to the power of 4 minus 1 right parenthesis to the power of 4 end fraction close parentheses to the power of 1 third end exponent
logy equals log open parentheses straight x over open parentheses straight x to the power of 4 minus 1 close parentheses to the power of 4 close parentheses to the power of 1 third end exponent
logy equals 1 third log open parentheses straight x over open parentheses straight x to the power of 4 minus 1 close parentheses to the power of 4 close parentheses
logy equals 1 third open parentheses logx minus 4 log open parentheses straight x to the power of 4 minus 1 close parentheses close parentheses
1 over straight y dy over dx equals 1 third left parenthesis 1 over straight x minus fraction numerator 4 over denominator straight x to the power of 4 minus 1 end fraction cross times 4 straight x cubed right parenthesis
dy over dx equals straight y 1 third open parentheses 1 over straight x minus fraction numerator 16 straight x cubed over denominator straight x to the power of 4 minus 1 end fraction close parentheses
dy over dx equals cube root of fraction numerator straight x over denominator left parenthesis straight x to the power of 4 minus 1 right parenthesis to the power of 4 end fraction end root 1 third open parentheses 1 over straight x minus fraction numerator 16 straight x cubed over denominator straight x to the power of 4 minus 1 end fraction close parentheses

end style
Answered by Expert 12th May 2019, 6:04 PM
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