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GeorgeOne GeorgeOne
  • 01-09-2016
  • Mathematics
Answered

F(x) = 4√(2x³-1)

F'(x) =....?

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 03-09-2016

\(y= \sqrt[4]{(2x^3-1)} \\ y^4=2x^3-1 \\ 2x^3=y^4+1 \\ x^3= \frac{y^4+1}{2} \\ x= \sqrt[3]{\frac{y^4+1}{2}}\)

Therefore, F'(x) = \(\sqrt[3]{\frac{y^4+1}{2}}\)

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