 2.7.1: A curve has equation . (a) Write an expression for the slope of the...
 2.7.2: Graph the curve in the viewing rectangles by , by , and by . What d...
 2.7.3: . (a) Find the slope of the tangent line to the parabola at the poi...
 2.7.4: . (a) Find the slope of the tangent line to the curve at the point ...
 2.7.5: 58 Find an equation of the tangent line to the curve at the given p...
 2.7.6: 58 Find an equation of the tangent line to the curve at the given p...
 2.7.7: 58 Find an equation of the tangent line to the curve at the given p...
 2.7.8: 58 Find an equation of the tangent line to the curve at the given p...
 2.7.9: (a) Find the slope of the tangent to the curve y 3 4x at the point ...
 2.7.10: (a) Find the slope of the tangent to the curve at the point where ....
 2.7.11: (a) A particle starts by moving to the right along a horizontal lin...
 2.7.12: Shown are graphs of the position functions of two runners, and , wh...
 2.7.13: If a ball is thrown into the air with a velocity of 40 fts, its hei...
 2.7.14: . If a rock is thrown upward on the planet Mars with a velocity of ...
 2.7.15: The displacement (in meters) of a particle moving in a straight lin...
 2.7.16: The displacement (in meters) of a particle moving in a straight lin...
 2.7.17: For the function t whose graph is given, arrange the following numb...
 2.7.18: Find an equation of the tangent line to the graph of at if and .
 2.7.19: If an equation of the tangent line to the curve at the point where ...
 2.7.20: If the tangent line to at (4, 3) passes through the point (0, 2), f...
 2.7.21: Sketch the graph of a function for which , f 1 0, and . f2 1 f f0 0...
 2.7.22: Sketch the graph of a function for whicht0 t2 t4 0 t1 t3 0 t0 t4 1t...
 2.7.23: If , find and use it to find an equation ofthe tangent line to the ...
 2.7.24: If , find and use it to find an equation of thetangent line to the ...
 2.7.25: (a) If , find and use it to find an equation of the tangent line to...
 2.7.26: (a) If , find and use it to find equations of the tangent lines to ...
 2.7.27: 2732 Find .fx 3x 3
 2.7.28: 2732 Find .ft 2t fx
 2.7.29: 2732 Find .ft 2t 1t 3ft
 2.7.30: 2732 Find .fx x 2 ft
 2.7.31: 2732 Find .fx s1 2xfx
 2.7.32: 2732 Find .fx 4s1 x fx
 2.7.33: 338 Each limit represents the derivative of some function at some n...
 2.7.34: 338 Each limit represents the derivative of some function at some n...
 2.7.35: 338 Each limit represents the derivative of some function at some n...
 2.7.36: 338 Each limit represents the derivative of some function at some n...
 2.7.37: 338 Each limit represents the derivative of some function at some n...
 2.7.38: 338 Each limit represents the derivative of some function at some n...
 2.7.39: 39 40 A particle moves along a straight line with equation of motio...
 2.7.40: 39 40 A particle moves along a straight line with equation of motio...
 2.7.41: A warm can of soda is placed in a cold refrigerator. Sketch the gra...
 2.7.42: A roast turkey is taken from an oven when its temperature has reach...
 2.7.43: The number of US cellular phone subscribers (in millions) is shown ...
 2.7.44: The number of locations of a popular coffeehouse chain is given in ...
 2.7.45: The cost (in dollars) of producing units of a certain commodity is ...
 2.7.46: . If a cylindrical tank holds 100,000 gallons of water, which can b...
 2.7.47: The cost of producing x ounces of gold from a new gold mine is doll...
 2.7.48: The number of bacteria after t hours in a controlled laboratory exp...
 2.7.49: Let be the temperature (in ) in Phoenix hours after midnight on Sep...
 2.7.50: The quantity (in pounds) of a gourmet ground coffee that is sold by...
 2.7.51: The quantity of oxygen that can dissolve in water depends on the te...
 2.7.52: The graph shows the influence of the temperature on the maximum sus...
 2.7.53: 5354 Determine whether exists.fx x sin1x if x 00 if x 0f 0
 2.7.54: 5354 Determine whether exists.. fx x 2 sin1x if x 00 if x 0fx
Solutions for Chapter 2.7: Derivatives and Rates of Change
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 2.7: Derivatives and Rates of Change
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Chapter 2.7: Derivatives and Rates of Change includes 54 full stepbystep solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Since 54 problems in chapter 2.7: Derivatives and Rates of Change have been answered, more than 29800 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles

Amplitude
See Sinusoid.

Arccosecant function
See Inverse cosecant function.

Augmented matrix
A matrix that represents a system of equations.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Conjugate axis of a hyperbola
The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

End behavior
The behavior of a graph of a function as.

equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Identity properties
a + 0 = a, a ? 1 = a

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

Negative linear correlation
See Linear correlation.

Product of functions
(ƒg)(x) = ƒ(x)g(x)

Random behavior
Behavior that is determined only by the laws of probability.

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

Unbounded interval
An interval that extends to ? or ? (or both).

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

Venn diagram
A visualization of the relationships among events within a sample space.

zaxis
Usually the third dimension in Cartesian space.