— Lemma

DeepDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §1.1 Velocity and Distance, #49 · Calculus · Derivatives

Your computer can add and multiply. Starting with the number 1 and the input called $t$ , give a list of instructions to lead to these outputs:

$f_{1} (t) = t^{2} + t$

$f_{2} (t) = f_{1} (f_{1} (t))$

$f_{3} (t) = f_{1} (t + 1)$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §1.1 Velocity and Distance, #49

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