The total production cost in rupees for manufacturing units of a product is for .

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The total production cost in rupees for manufacturing xx units of a product is C(x)=2x2+100x+500C(x)=2x^2+100x+500 for x≥0x\ge 0. (i) Calculate C′(x)C'(x). (ii) Is the total cost increasing or decreasing as the output xx increases in the domain x≥0x\ge 0? State your reason.

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