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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.2 Powers and Polynomials, #50 · Calculus · Derivatives

The graphs of … and … touch at the point where

The graphs of $y_{1} (x) = x^{4} + x^{3}$ and $y_{2} (x) = 7 x - 5$ touch at the point where $y_3(x) = \text{____} = 0$ . Plot $y_{3} (x)$ to see what is special. What does the graph of $y (x)$ do at a point where $y = y^{'} = 0$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.2 Powers and Polynomials, #50

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