Mathematics

Mathematics

Problem

Let f(x)=xn+1+a⋅xnf(x) = x^{n+1} + a \cdot x^n , where aa is a positive real number. Then, x=0x = 0 is a point of a. local minimum for any integer nn b. local maximum for any integer nn c. local minimum if nn is an even integer d. local minimum if nn is an odd integer

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