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If f''(x) = 2*x*f'(x), and f(x) = x^(n) what is n.
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High School Teacher
`f''(x)=2x xx f'(x)` and `f(x)=x^n`
Differentiate (i) w.r.t. x, then
Substitute `f'(x) and f''(x)` in given equation,
So either `nx^(n-2)=0` or `n-1-2x^2=0.`
`If ` `nx^(n-2)=0`
`=> n=0` or x=0
If `n-1-2x^2=0` then n will variable as x is independent variable. So this case not possible.
Thus only posible cases are either n=0 or x=0.
Posted by aruv on September 28, 2013 at 5:17 AM (Answer #2)
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