A) \[2x+\frac{2{{x}^{3}}}{\sqrt{{{x}^{4}}-1}}\]
B) \[2x+\frac{{{x}^{3}}}{\sqrt{{{x}^{4}}-1}}\]
C) \[x+\frac{2{{x}^{3}}}{\sqrt{{{x}^{4}}-1}}\]
D) None of these
Correct Answer: A
Solution :
Rationalising, \[y=\frac{2{{x}^{2}}+2\sqrt{{{x}^{4}}-1}}{2}={{x}^{2}}+{{({{x}^{4}}-1)}^{1/2}}\] Þ \[\frac{dy}{dx}=2x+\frac{2{{x}^{3}}}{\sqrt{{{x}^{4}}-1}}\].You need to login to perform this action.
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