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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #26 · Calculus · Applications of derivatives

If … equals …, show that … equals

This problem is about $x^{2} + 1 = 0$ and chaos.

If $z_{0}$ equals $sin^{2} θ$ , show that $z_{1} = 4 z_{0} - 4 z_{0}^{2}$ equals $sin^{2} 2 θ$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #26

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