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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.1 The Derivative of a Function, #13 · Calculus · Derivatives

(b) Why doesn't … have a derivative at

Suppose $f (t) = 7 t$ to $t = 1$ . Afterwards $f (t) = 7 + 9 (t - 1)$ .

(a) Find $df / d t$ at $t = \frac{1}{2}$ and $t = \frac{3}{2}$ .

(b) Why doesn't $f (t)$ have a derivative at $t = 1$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.1 The Derivative of a Function, #13

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