 3.8.1: In Exercises 16, find the differential
 3.8.2: In Exercises 16, find the differential
 3.8.3: In Exercises 16, find the differential
 3.8.4: In Exercises 16, find the differential
 3.8.5: In Exercises 16, find the differential
 3.8.6: In Exercises 16, find the differential
 3.8.7: In Exercises 710, let and Find
 3.8.8: In Exercises 710, let and Find
 3.8.9: In Exercises 710, let and Find
 3.8.10: In Exercises 710, let and Find
 3.8.11: In Exercises 1114, compare the values of and
 3.8.12: In Exercises 1114, compare the values of and
 3.8.13: In Exercises 1114, compare the values of and
 3.8.14: In Exercises 1114, compare the values of and
 3.8.15: In Exercises 1520, let and complete the table for the function.
 3.8.16: In Exercises 1520, let and complete the table for the function.
 3.8.17: In Exercises 1520, let and complete the table for the function.
 3.8.18: In Exercises 1520, let and complete the table for the function.
 3.8.19: In Exercises 1520, let and complete the table for the function.
 3.8.20: In Exercises 1520, let and complete the table for the function.
 3.8.21: In Exercises 2124, find an equation of the tangent line to the func...
 3.8.22: In Exercises 2124, find an equation of the tangent line to the func...
 3.8.23: In Exercises 2124, find an equation of the tangent line to the func...
 3.8.24: In Exercises 2124, find an equation of the tangent line to the func...
 3.8.25: Profit The profit for a company producing units is Approximate the ...
 3.8.26: Revenue The revenue for a company selling units isUse differentials...
 3.8.27: Demand The demand function for a product is modeled by(a) If change...
 3.8.28: Biology: Wildlife Management A state game commission introduces 50 ...
 3.8.29: Marginal Analysis In Exercises 2934, use differentials to approxima...
 3.8.30: Marginal Analysis In Exercises 2934, use differentials to approxima...
 3.8.31: Marginal Analysis In Exercises 2934, use differentials to approxima...
 3.8.32: Marginal Analysis In Exercises 2934, use differentials to approxima...
 3.8.33: Marginal Analysis In Exercises 2934, use differentials to approxima...
 3.8.34: Marginal Analysis In Exercises 2934, use differentials to approxima...
 3.8.35: Marginal Analysis A retailer has determined that the monthly sales ...
 3.8.36: Marginal Analysis A manufacturer determines that the demand for a p...
 3.8.37: Marginal Analysis The demand for a web camera is 30,000 units per m...
 3.8.38: Marginal Analysis The variable cost for the production of a calcula...
 3.8.39: Area The side of a square is measured to be 12 inches, with a possi...
 3.8.40: Volume The radius of a sphere is measured to be 6 inches, with a po...
 3.8.41: Economics: Gross Domestic Product The gross domestic product (GDP) ...
 3.8.42: Medical Science The concentration (in milligrams per milliliter) of...
 3.8.43: Physiology: Body Surface Area The body surface area (BSA) of a 180...
 3.8.44: True or False? In Exercises 44 and 45, determine whether the statem...
 3.8.45: True or False? In Exercises 44 and 45, determine whether the statem...
Solutions for Chapter 3.8: Differentials and Marginal Analysis
Full solutions for Calculus: An Applied Approach  8th Edition
ISBN: 9780618958252
Solutions for Chapter 3.8: Differentials and Marginal Analysis
Get Full SolutionsSince 45 problems in chapter 3.8: Differentials and Marginal Analysis have been answered, more than 21908 students have viewed full stepbystep solutions from this chapter. Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618958252. Chapter 3.8: Differentials and Marginal Analysis includes 45 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: An Applied Approach , edition: 8. This expansive textbook survival guide covers the following chapters and their solutions.

Acute triangle
A triangle in which all angles measure less than 90°

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Differentiable at x = a
ƒ'(a) exists

Focal length of a parabola
The directed distance from the vertex to the focus.

Horizontal translation
A shift of a graph to the left or right.

Implied domain
The domain of a function’s algebraic expression.

Infinite limit
A special case of a limit that does not exist.

Interquartile range
The difference between the third quartile and the first quartile.

Inverse sine function
The function y = sin1 x

Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

Principle of mathematical induction
A principle related to mathematical induction.

Quadrant
Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

Solve an equation or inequality
To find all solutions of the equation or inequality

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Tree diagram
A visualization of the Multiplication Principle of Probability.

Vertical stretch or shrink
See Stretch, Shrink.

zaxis
Usually the third dimension in Cartesian space.