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MATH-M 119 Lecture Notes - Lecture 6: Marginal Cost

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30 Nov 2017

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$MATH-M 119 Full Course Notes$

MATH-M 119 Full Course Notes

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If f"(x) = f(x), then we call f(x) the antiderivative of f(x) ex) (x^2)" = 2x, so x^2 is the antiderivative of 2x. Use fundamental theorem of calculus to compute other values. Suppose f is an antiderivative of f: (f"(x) = f(x)) If f">0, then f is increasing and the graph of f is concave up. If f"<0, the f is decreasing and the graph of f is concave down ex) marginal cost = c"(q) = 3q^2 - 16q + 70, c(0) = 600. Find the total cost of producing 30 units.

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