(a) Suppose f'(x) > g'(x) for all x, and that f(a) = g(a). Show that f(x) > g(x) for x > a and f(«)


(a) Suppose f'(x) > g'(x) for all x, and that f(a) = g(a). Show that f(x) > g(x) for x > a and<br>f(«) < 9(х) for z < a.<br>(b) Show by example that these conclusions do not follow without the hypothesis f(a) = g(a).<br>

Extracted text: (a) Suppose f'(x) > g'(x) for all x, and that f(a) = g(a). Show that f(x) > g(x) for x > a and f(«) < 9(х)="" for="" z="">< a.="" (b)="" show="" by="" example="" that="" these="" conclusions="" do="" not="" follow="" without="" the="" hypothesis="" f(a)="">

Jun 05, 2022
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