- #1
physicsernaw
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Homework Statement
Which of the following satisfy (f^k)(x) = 0 for all k >= 6?
a) f(x) = 7x^4 + 4 + x^-1
b) f(x) = sqrt(x)
c) f(x) = x^(9/5)
d) f(x) = x^3 - 2
e) f(x) = 1 - x^6
f) f(x) = 2x^2 + 3x^5
Homework Equations
None, but given as a problem in a chapter where the topic is higher order derivatives.
The Attempt at a Solution
I think the answer is e) but it's true for all k not just k>=6 and I don't know how finding the answer relates to higher order derivatives or how I'd use higher order derivatives to find the solution
k >= 6, for x = 1 & -1
(1-1)^k = 0
0^k = 0, lol
Edit: Hmmm maybe I'm reading the problem wrong? Is it asking which function is always = 0 for all x, and all k >= 6?
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