 2.1: In Exercises 14, approximate the slope of the tangent line to the g...
 2.2: In Exercises 14, approximate the slope of the tangent line to the g...
 2.3: In Exercises 14, approximate the slope of the tangent line to the g...
 2.4: In Exercises 14, approximate the slope of the tangent line to the g...
 2.5: Sales The graph approximates the annual sales (in millions of dolla...
 2.6: Consumer Trends The graph approximates the number of subscribers (i...
 2.7: Medicine The graph shows the estimated number of milligrams of a pa...
 2.8: Athletics Two whitewater rafters leave a campsite simultaneously a...
 2.9: In Exercises 916, use the limit definition to find the derivative o...
 2.10: In Exercises 916, use the limit definition to find the derivative o...
 2.11: In Exercises 916, use the limit definition to find the derivative o...
 2.12: In Exercises 916, use the limit definition to find the derivative o...
 2.13: In Exercises 916, use the limit definition to find the derivative o...
 2.14: In Exercises 916, use the limit definition to find the derivative o...
 2.15: In Exercises 916, use the limit definition to find the derivative o...
 2.16: In Exercises 916, use the limit definition to find the derivative o...
 2.17: In Exercises 1724, find the slope of the graph of at the given poin...
 2.18: In Exercises 1724, find the slope of the graph of at the given poin...
 2.19: In Exercises 1724, find the slope of the graph of at the given poin...
 2.20: In Exercises 1724, find the slope of the graph of at the given poin...
 2.21: In Exercises 1724, find the slope of the graph of at the given poin...
 2.22: In Exercises 1724, find the slope of the graph of at the given poin...
 2.23: In Exercises 1724, find the slope of the graph of at the given poin...
 2.24: In Exercises 1724, find the slope of the graph of at the given poin...
 2.25: In Exercises 2528, determine the value at which the function is not...
 2.26: In Exercises 2528, determine the value at which the function is not...
 2.27: In Exercises 2528, determine the value at which the function is not...
 2.28: In Exercises 2528, determine the value at which the function is not...
 2.29: In Exercises 2938, find the equation of the tangent line at the giv...
 2.30: In Exercises 2938, find the equation of the tangent line at the giv...
 2.31: In Exercises 2938, find the equation of the tangent line at the giv...
 2.32: In Exercises 2938, find the equation of the tangent line at the giv...
 2.33: In Exercises 2938, find the equation of the tangent line at the giv...
 2.34: In Exercises 2938, find the equation of the tangent line at the giv...
 2.35: In Exercises 2938, find the equation of the tangent line at the giv...
 2.36: In Exercises 2938, find the equation of the tangent line at the giv...
 2.37: In Exercises 2938, find the equation of the tangent line at the giv...
 2.38: In Exercises 2938, find the equation of the tangent line at the giv...
 2.39: In Exercises 39 and 40, find the average rate of change of the func...
 2.40: In Exercises 39 and 40, find the average rate of change of the func...
 2.41: Sales The annual sales (in millions of dollars per year) of Home De...
 2.42: Consumer Trends The numbers of subscribers (in thousands per year) ...
 2.43: Retail Price The average retail price (in dollars) of 1 pound of 10...
 2.44: Recycling The amount of recycled paper products in millions of tons...
 2.45: Velocity A rock is dropped from a tower on the Brooklyn Bridge, 276...
 2.46: Velocity The straightline distance (in feet) traveled by an accele...
 2.47: Cost, Revenue, and Profit The fixed cost of operating a small flowe...
 2.48: Profit The weekly demand and cost functions for a product are given...
 2.49: Marginal Cost In Exercises 4952, find the marginal cost function. C...
 2.50: Marginal Cost In Exercises 4952, find the marginal cost function. C...
 2.51: Marginal Cost In Exercises 4952, find the marginal cost function. C...
 2.52: Marginal Cost In Exercises 4952, find the marginal cost function. C...
 2.53: Marginal Revenue In Exercises 5356, find the marginal revenue funct...
 2.54: Marginal Revenue In Exercises 5356, find the marginal revenue funct...
 2.55: Marginal Revenue In Exercises 5356, find the marginal revenue funct...
 2.56: Marginal Revenue In Exercises 5356, find the marginal revenue funct...
 2.57: Marginal Profit In Exercises 57 and 58, find the marginal profit fu...
 2.58: Marginal Profit In Exercises 57 and 58, find the marginal profit fu...
 2.59: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.60: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.61: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.62: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.63: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.64: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.65: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.66: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.67: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.68: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.69: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.70: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.71: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.72: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.73: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.74: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.75: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.76: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.77: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.78: In Exercises 5978, find the derivative of the function. Simplify yo...
 2.79: Physical Science The temperature (in degrees Fahrenheit) of food pl...
 2.80: Forestry According to the Doyle Log Rule, the volume (in boardfeet...
 2.81: In Exercises 8188, find the given derivative. fx 3x fx. 2 7x 1, D V
 2.82: In Exercises 8188, find the given derivative. fx 5x fx. 4 6x2 2x, fx
 2.83: In Exercises 8188, find the given derivative. f 5 fx x. 6 x 4,
 2.84: In Exercises 8188, find the given derivative. f 4 fx x, x. f 5 f
 2.85: In Exercises 8188, find the given derivative. fx 7x fx. 52 , f
 2.86: In Exercises 8188, find the given derivative. fx x fx. 2 3 x
 2.87: In Exercises 8188, find the given derivative. fx 6 fx. 3 x,
 2.88: In Exercises 8188, find the given derivative. f 5 fx 20x x. 4 2 x3, f
 2.89: Athletics A person dives from a 30foot platform with an initial ve...
 2.90: Velocity and Acceleration The position function of a particle is gi...
 2.91: In Exercises 9194, use implicit differentiation to find dy/dx. x2 3...
 2.92: In Exercises 9194, use implicit differentiation to find dy/dx. x2 9...
 2.93: In Exercises 9194, use implicit differentiation to find dy/dx. y2 x...
 2.94: In Exercises 9194, use implicit differentiation to find dy/dx. y2 x...
 2.95: In Exercises 9598, use implicit differentiation to find an equation...
 2.96: In Exercises 9598, use implicit differentiation to find an equation...
 2.97: In Exercises 9598, use implicit differentiation to find an equation...
 2.98: In Exercises 9598, use implicit differentiation to find an equation...
 2.99: Water Level A swimming pool is 40 feet long, 20 feet wide, 4 feet d...
 2.100: Profit The demand and cost functions for a product can be modeled b...
Solutions for Chapter 2: Differentiation
Full solutions for Brief Calculus: An Applied Approach  7th Edition
ISBN: 9780618547197
Solutions for Chapter 2: Differentiation
Get Full SolutionsSince 100 problems in chapter 2: Differentiation have been answered, more than 22977 students have viewed full stepbystep solutions from this chapter. Chapter 2: Differentiation includes 100 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7.

Bounded interval
An interval that has finite length (does not extend to ? or ?)

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis is the imaginary axis

Constraints
See Linear programming problem.

Convenience sample
A sample that sacrifices randomness for convenience

Difference identity
An identity involving a trigonometric function of u  v

Distance (on a number line)
The distance between real numbers a and b, or a  b

Division algorithm for polynomials
Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Future value of an annuity
The net amount of money returned from an annuity.

Inverse sine function
The function y = sin1 x

Linear regression equation
Equation of a linear regression line

Natural logarithm
A logarithm with base e.

Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Slope
Ratio change in y/change in x

Sum of an infinite geometric series
Sn = a 1  r , r 6 1

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i