Practice question: Find f(3) if12f(x) = x2 - 2:Solution: To evaluate f(3), we simply plug in the value of 3 for x in the expression:f(7) = 32.2 = 7.Find f(3)f'(3) represents the taking the first derivative of the expression and evaluating at x = 3:f'(x) = (2)3 (2-1) = (2)3f'(3) = (2)3 = 6Question: Find f(7) iff(x) = x2 + 7:f(7) :find f'(7)f'(7) = Practice question: Differentiate the following function:13y = 5x 3/2Solution: Using the power rule,dy/dx = y' = (3/2)(5x (3/2) - 1) = 15/10x 1/2 = 3/2x 1/2Question: Differentiate the given function:y= 2x4/3Instruction: enter each response as a fraction (i.e., 1/2, 3/4, 5/8, .)dy/dx= X

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ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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