Problem 1E: For the function given by u=f(v), write four different ways to represent the derivative of u with... Problem 2E Problem 3E Problem 4E Problem 5E: For the function given by h=m(k), write four different ways to represent the derivative of h with... Problem 6E Problem 7E: Find dydx. y=x7 Problem 8E: Find dydx. y=x8 Problem 9E: Find.
4.
Problem 10E: Find.
3.
Problem 11E: Find.
6.
Problem 12E: Find.
5.
Problem 13E: Find.
8.
Problem 14E: Find.
7.
Problem 15E: Find dydx. y=x6 Problem 16E: Find.
9.
Problem 17E: Find.
12.
Problem 18E: Find dydx. y=3x5 Problem 19E: Find dydx. y=x3+3x2 Problem 20E: Find.
13.
Problem 21E: Find.
16.
Problem 22E: Find.
15.
Problem 23E: Find.
18.
Problem 24E Problem 25E: Find.
20.
Problem 26E: Find.
19.
Problem 27E: Find.
22.
Problem 28E: Find.
21.
Problem 29E: Find each derivative.
25.
Problem 30E: Find each derivative. ddx(x3+4x) Problem 31E: Find each derivative.
27.
Problem 32E: Find each derivative. ddx(x34) Problem 33E Problem 34E Problem 35E: Find each derivative. 35. f(x)=25x6 Problem 36E Problem 37E: Find each derivative. 37. f(x)=4xx3/5 Problem 38E Problem 39E: Find g(x). 39. g(x)=7x14 Problem 40E Problem 41E: Find g(x). 41. g(x)=x3/23 Problem 42E Problem 43E: Find f(x). f(x)=0.01x2+0.4x+500.02x+0.4 Problem 44E: Find f(x). f(x)=0.01x20.5x+700.02x0.5 Problem 45E: Find y y=x3/43x2/3+x5/4+2x434x7/42x1/3+54x1/48x5 Problem 46E: Find
46.
Problem 47E: Find y y=x7+7x Problem 48E: Find
48.
Problem 49E: Find y If f(x)=x,findf(4). Problem 50E: Find
50. If.
Problem 51E: If y=x+2x3, find dydx at x=1. Problem 52E: If y=4x2, find dydx at x=2. Problem 53E: If y=x3+x, find dydx at x=64. Problem 54E Problem 55E: If y=25x3, find dydx at x=4. Problem 56E Problem 57E: 57. Find an equation of the tangent line to the graph of
a. at
b. at
c. at
Problem 58E: Find an equation (in y=mx+b form) of the tangent line to the graph of f(x)=x32x+1 a. at (2,5) b. at... Problem 59E: 59. Find an equation of the tangent line to the graph of
a. at
b. at
c. at
Problem 60E: Find an equation of the tangent line to the graph of f(x)=1x2 a. at (1,1) b. at (3,19) c. at (2,14) Problem 61E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 62E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 63E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 64E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 65E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 66E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 67E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 68E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 69E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 70E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 71E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 72E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 73E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 74E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 75E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 76E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 77E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 78E: For each function, find the point on the graph at which the tangent line is horizontal. If none... Problem 79E: For each the function, find the point on the graph at which the tangent line has slope 1.
79.
Problem 80E: For each the function, find the point on the graph at which the tangent line has slope 1.
80.
Problem 81E: For each the function, find the point on the graph at which the tangent line has slope 1.... Problem 82E: For each the function, find the point on the graph at which the tangent line has slope 1.... Problem 83E: For each the function, find the point on the graph at which the tangent line has slope 1.
83.
Problem 84E: For each the function, find the point on the graph at which the tangent line has slope 1.... Problem 85E Problem 86E Problem 87E: Growth of a child. The median weight of a boy whose age is between 0 and 36 months is approximated... Problem 88E Problem 89E Problem 90E Problem 91E: Population growth rate. In t year, the population of Kingsville grows from 100,000 to a size P given... Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E: For Exercises 95 and 96, find the interval(s) for which f(x) is positive, f(x)=x24x+1 Problem 97E: For Exercises 95 and 96, find the interval(s) for which f(x) is positive, f(x)=13x3x23x+5 Problem 98E: Find the points on the graph of y=x443x24 at which the tangent line is horizontal. Problem 99E: Find the point on the graph of y=2x6x42 at which the tangent line is horizontal. Problem 100E Problem 101E Problem 102E: 101. Use the derivative to help explain why decreases for all x in.
Problem 103E: Use the derivative to help explain why f(x)=x3+ax increases for all x in (,) when a0 but not when... Problem 104E: Find Each function can be different using the rules developed in this section, but some algebra may... Problem 105E Problem 106E: Find dy/dx Each function can be different using the rules developed in this section, but some... Problem 107E: Find dy/dx Each function can be different using the rules developed in this section, but some... Problem 108E: Find Each function can be different using the rules developed in this section, but some algebra may... Problem 109E: Find Each function can be different using the rules developed in this section, but some algebra may... Problem 110E: Find Each function can be different using the rules developed in this section, but some algebra may... Problem 111E: Find dy/dx Each function can be different using the rules developed in this section, but some... Problem 112E Problem 113E Problem 114E Problem 115E Problem 116E Problem 117E Problem 118E format_list_bulleted
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