Let C(x) represent the cost of producing x items. A business has the costtunction set up as follows:C(x) = 0.05x³ + 0.04x² + 60x + 130, 0Sx< 1500.(a) Find and interpret the average cost when 1000 items have been produced.(b) Find and interpret the marginal cost when 1500 items have been produced.%3D Use the chain rule to find the derivatives of f(x) and g(x) as well as f'(0)and g'(0):-xy10f(x) = (2x³ tan(x) – e-*)10 and g(x) = /(3x – 4)² – sin(x).

Name: Let C(x) represent the cost of producing x items. A business has the
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Description: Let C(x) represent the cost of producing x items. A business has the costtunction set up as follows:C(x) = 0.05x³ + 0.04x² + 60x + 130, 0Sx< 1500.(a) Find and interpret the average cost when 1000 items have been produced.(b) Find and interpret the m

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Math

Calculus

Use the chain rule to find the derivatives of f(x) and g(x) as well as f'(0) and g'(0): f(x) = (2x³ tan(x) – e¯*)10 and g(x) = /(3x – 4)² – sin(x). %3D

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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