If , then…

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Number and Algebra · Number and Algebra

Problem

If f(x)=(cos⁡x+isin⁡x)(cos⁡3x+isin⁡3x)⋯(cos⁡(2n−1)x+isin⁡(2n−1)x)f(x)=(\cos x+i\sin x)(\cos 3x+i\sin 3x)\cdots(\cos(2n-1)x+i\sin(2n-1)x), then f′′(x)f''(x) equals: (1) n3f(x)n^3f(x) (2) −n4f(x)-n^4f(x) (3) −n2f(x)-n^2f(x) (4) n4f(x)n^4f(x)

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