 3.1.1: (a) How is the number e defined? (b) Use a calculator to estimate t...
 3.1.2: (a) Sketch, by hand, the graph of the function , paying particular ...
 3.1.3: Differentiate the function.
 3.1.4: Differentiate the function.
 3.1.5: Differentiate the function.
 3.1.6: Differentiate the function.
 3.1.7: Differentiate the function.
 3.1.8: Differentiate the function.
 3.1.9: Differentiate the function.
 3.1.10: Differentiate the function.
 3.1.11: Differentiate the function.
 3.1.12: Differentiate the function.
 3.1.13: Differentiate the function.
 3.1.14: Differentiate the function.
 3.1.15: Differentiate the function.
 3.1.16: Differentiate the function.
 3.1.17: Differentiate the function.
 3.1.18: Differentiate the function.
 3.1.19: Differentiate the function.
 3.1.20: Differentiate the function.
 3.1.21: Differentiate the function.
 3.1.22: Differentiate the function.
 3.1.23: Differentiate the function.
 3.1.24: Differentiate the function.
 3.1.25: Differentiate the function.
 3.1.26: Differentiate the function.
 3.1.27: Differentiate the function.
 3.1.28: Differentiate the function.
 3.1.29: Differentiate the function.
 3.1.30: Differentiate the function.
 3.1.31: Differentiate the function.
 3.1.32: Differentiate the function.
 3.1.33: Find f x f f . Compare the graphs of and and use them to explain wh...
 3.1.34: Find f x f f . Compare the graphs of and and use them to explain wh...
 3.1.35: Find f x f f . Compare the graphs of and and use them to explain wh...
 3.1.36: Find f x f f . Compare the graphs of and and use them to explain wh...
 3.1.37: Estimate the value of by zooming in on the graph of . Then differen...
 3.1.38: Estimate the value of by zooming in on the graph of . Then differen...
 3.1.39: Find an equation of the tangent line to the curve at the given poin...
 3.1.40: Find an equation of the tangent line to the curve at the given poin...
 3.1.41: Find an equation of the tangent line to the curve at the given poin...
 3.1.42: Find an equation of the tangent line to the curve at the given poin...
 3.1.43: (a) Use a graphing calculator or computer to graph the function in ...
 3.1.44: (a) Use a graphing calculator or computer to graph the function in ...
 3.1.45: Find the points on the curve y 2x3 3x 45. 2 12x 1t where the tangen...
 3.1.46: For what values of does the graph of f x x3 3x2 x 3x y have a horiz...
 3.1.47: Show that the curve y 6x 3 5x 3 f has no tangent line with slope 4.
 3.1.48: At what point on the curve y 1 2e x 3x y is the tangent line parall...
 3.1.49: Draw a diagram to show that there are two tangent lines to the para...
 3.1.50: Find equations of both lines through the point that are tangent to ...
Solutions for Chapter 3.1: Derivatives of Polynomials and Exponential Functions
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 3.1: Derivatives of Polynomials and Exponential Functions
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 50 problems in chapter 3.1: Derivatives of Polynomials and Exponential Functions have been answered, more than 45453 students have viewed full stepbystep solutions from this chapter. Chapter 3.1: Derivatives of Polynomials and Exponential Functions includes 50 full stepbystep solutions.

Boundary
The set of points on the “edge” of a region

Constant of variation
See Power function.

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Empty set
A set with no elements

Function
A relation that associates each value in the domain with exactly one value in the range.

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

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

Inverse properties
a + 1a2 = 0, a # 1a

Law of sines
sin A a = sin B b = sin C c

Line of symmetry
A line over which a graph is the mirror image of itself

Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Perpendicular lines
Two lines that are at right angles to each other

Phase shift
See Sinusoid.

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

Sum of functions
(ƒ + g)(x) = ƒ(x) + g(x)

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k

Vertical component
See Component form of a vector.