differentiation

Question: If $y={{\left( x+\sqrt{1+{{x}^{2}}} \right)}^{n}},$ then $(1+{{x}^{2}})\frac{{{d}^{2}}y}{d{{x}^{2}}}+x\frac{dy}{dx}$ is

1) ${{n}^{2}}y$

2) $-{{n}^{2}}y$

3) $-y$

4) $2{{x}^{2}}y$

Solution:

Explanation: No Explanation

Differentiation by substitution Higher order derivatives

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