Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #48 · Calculus · Applications of derivatives

Graph … and … in the square window

Graph $Y_{1} (x) = 3.4 (x - x^{2})$ and $Y_{2} (x) = Y_{1} (Y_{1} (x))$ in the square window $(0, 0) ⩽ (x, y) ⩽ (1, 1)$ . Then graph $Y_{3} (x) = Y_{2} (Y_{1} (x))$ and $Y_{4}, \dots, Y_{9}$ . The cycle is from $.842$ to $.452$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #48

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