MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.1 The Chain Rule, #27 · Calculus · Differentiation rules

If … what is

If $f (x) = x^{2} + 1$ what is $f (f (x))$ ? If $U (x)$ is the unit step function (from 0 to 1 at $x = 0$ ) draw the graphs of $sin U (x)$ and $U (sin x)$ . If $R (x)$ is the _ramp function_ $\frac{1}{2} (x + ∣ x ∣)$ , draw the graphs of $R (x)$ and $R (sin x)$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.1 The Chain Rule, #27

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