MATH 220 Chapter Notes - Chapter 3.2: Marginal Revenue

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plumfly698

8 Nov 2017

School

University of Maryland

Department

Mathematics

Course

MATH 220

Professor

Sarah Yeakel

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Document Summary

D = f(g(x)) = f"(g(x))g"(x) dx dy = dy du dx du dx: f(x) = x8 and g(x) = x5 + 9x + 3 f"(x) = 8x7 g"(x) = 5x4+9 f"(g(x)) = 8(x5+9x+3)7. Using chain rule: derivative of a function that is not specified. If h(x) = f( ), where f is not specified, find h"(x) in terms of f" g(x) = , h(x) = f(g(x)). g"(x) = 1/2 ) = f"( ) times 1/2 f"( )/ 2 : y = u5-2u3+8 and u=x2+1. Find dy/dx dy = 5u4-6u2 y is in terms of u not x so find that du du = 2x u is in terms of x so find that dx. = 5(x2+1)4 - 6(x2+1)2 times 2x sub u into all cases to make in terms of x: marginal revenue and time rate of change. X is ties sold in one day, r is the revenue, so r=12x.

Related Questions

See Figs 950a,b, and c which are related. A=9 on all three axes.B=4 in Fig. 950a. Answer-1=1 if z(x)=intg{y(x) dx}. Answer-1=2 ify(x)=intg{z(x) dx}. The dots in Fig 950b may be higher or lower than shown.Find C,D,E,F in Fig. 950b. The second part of this exercise deals with Figs 950a and 950c. Answer-6=3 if u(x)=y'(x)=dy/dx. Answer-6=4 if y(x)=u'(x)=du/dx. Find G,H, and K in Fig. 950c. The values of u may not be drawn to scale.