MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.3 Inverse Functions and Their Derivatives, #30 · Calculus · Differentiation rules

At the points … a piecewise constant function jumps to

At the points $x_{1}, x_{2}, x_{3}$ a piecewise constant function jumps to $y_{1}, y_{2}, y_{3}$ . Draw its graph starting from $y (0) = 0$ . The mirror image is piecewise constant with jumps at the points ______ to the heights ______ . Why isn't this the inverse function?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.3 Inverse Functions and Their Derivatives, #30

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