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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.2 Powers and Polynomials, #12 · Calculus · Derivatives

Find the mistake: … is … (with … terms)

Find the mistake: $x^{2}$ is $x + x + \dots + x$ (with $x$ terms). Its derivative is $1 + 1 + \dots + 1$ (also $x$ terms). So the derivative of $x^{2}$ seems to be $x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.2 Powers and Polynomials, #12

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