A) 26
B) -24
C) -23
D) -26
Correct Answer: B
Solution :
\[{{y}^{1/5}}+{{y}^{-1/5}}=2x\] \[\left( \frac{1}{5}\,{{y}^{-4/5}}\,-\frac{1}{5}\,{{y}^{-6/5}} \right)\,\frac{dy}{dx}=2\] \[y'({{y}^{1/5}}\,-{{y}^{-1/5}})=10y\] \[y'\left( 2\sqrt{{{x}^{2}}-1} \right)\,=10y\] \[y''\left( 2\sqrt{{{x}^{2}}-1} \right)\,+y'2\frac{2x}{2\sqrt{{{x}^{2}}-1}}\,\sqrt{y'}\] \[y''({{x}^{2}}-1)\,+xy'\,=5\sqrt{{{x}^{2}}-1}(y')\] \[\] \[\lambda =1,\,\,k=-25\]You need to login to perform this action.
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