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find d^2y / dx^2 = ? . if y = [ x + root x^2 + a ^2 ] ^n

find d^2y / dx^2 = ? .  if y = [ x + root x^2 + a ^2 ] ^n
 

Grade:11

1 Answers

Arun
25763 Points
3 years ago
Dear student
 
If we find dy/dx 
Then
dy/dx = ny / sqrt(x² +a²)
Now
d²y/dx² = [sqrt(x²+a²) * ny' - ny *2x/sqrt(x² +a²)]/ (x²+a²)
Now you can simplify this

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