Continuity and Differentiability
Oswaal
CBSE
Grade 12
Question:
If $y = (x + \sqrt{x^2+a^2})^n$, show that $\dfrac{dy}{dx} = \dfrac{n y}{\sqrt{x^2+a^2}}$ and $(x^2 + a^2) y_2 + x y_1 - n^2 y = 0$.
Step-by-Step Solution
Key Concept: Full differentiation and second order derivation.
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Correct Answer:
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