Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.8 The Mean Value Theorem and l’Hôpital’s Rule, #38 · Calculus · Applications of derivatives

Prove that … is increasing when its slope is positive: If …

Prove that $f (x)$ is increasing when its slope is positive: If $f^{'} (c) > 0$ at all points $c$ , then $f (b) > f (a)$ at all pairs of points $b > a$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.8 The Mean Value Theorem and l’Hôpital’s Rule, #38

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