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Question
If `"y" = ("x" + sqrt(1 + "x"^2))^"n", "then" (1 + "x"^2) ("d"^2 "y")/"dx"^2 + "x" ("dy")/("dx")` is ____________.
Options
`"n"^2 "y"`
`-"n"^2 "y"`
- y
`2 "x"^2 "y"`
MCQ
Fill in the Blanks
Solution
If `"y" = ("x" + sqrt(1 + "x"^2))^"n", "then" (1 + "x"^2) ("d"^2 "y")/"dx"^2 + "x" ("dy")/("dx")` is `underline("n"^2 "y")`.
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