Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.1 Linear Approximation, #21 · Calculus · Applications of derivatives

… (use …, then put …)

Confirm the approximations by computing $f^{'} (0)$ :

$c^{2} + x^{2} \approx c + \frac{1}{2} \frac{x ^{2}}{c}$ (use $f (u) = c^{2} + u$ , then put $u = x^{2}$ )

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.1 Linear Approximation, #21

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