 3.1: In Exercises 130, find the derivative of the function
 3.2: In Exercises 130, find the derivative of the function
 3.3: In Exercises 130, find the derivative of the function
 3.4: In Exercises 130, find the derivative of the function
 3.5: In Exercises 130, find the derivative of the function
 3.6: In Exercises 130, find the derivative of the function
 3.7: In Exercises 130, find the derivative of the function
 3.8: In Exercises 130, find the derivative of the function
 3.9: In Exercises 130, find the derivative of the function
 3.10: In Exercises 130, find the derivative of the function
 3.11: In Exercises 130, find the derivative of the function
 3.12: In Exercises 130, find the derivative of the function
 3.13: In Exercises 130, find the derivative of the function
 3.14: In Exercises 130, find the derivative of the function
 3.15: In Exercises 130, find the derivative of the function
 3.16: In Exercises 130, find the derivative of the function
 3.17: In Exercises 130, find the derivative of the function
 3.18: In Exercises 130, find the derivative of the function
 3.19: In Exercises 130, find the derivative of the function
 3.20: In Exercises 130, find the derivative of the function
 3.21: In Exercises 130, find the derivative of the function
 3.22: In Exercises 130, find the derivative of the function
 3.23: In Exercises 130, find the derivative of the function
 3.24: In Exercises 130, find the derivative of the function
 3.25: In Exercises 130, find the derivative of the function
 3.26: In Exercises 130, find the derivative of the function
 3.27: In Exercises 130, find the derivative of the function
 3.28: In Exercises 130, find the derivative of the function
 3.29: In Exercises 130, find the derivative of the function
 3.30: In Exercises 130, find the derivative of the function
 3.31: In Exercises 3134, find all values of x for which the function is d...
 3.32: In Exercises 3134, find all values of x for which the function is d...
 3.33: In Exercises 3134, find all values of x for which the function is d...
 3.34: In Exercises 3134, find all values of x for which the function is d...
 3.35: In Exercises 3538, find dy/dx.
 3.36: In Exercises 3538, find dy/dx.
 3.37: In Exercises 3538, find dy/dx.
 3.38: In Exercises 3538, find dy/dx.
 3.39: In Exercises 3942, find dy/dx by implicit differentiation.
 3.40: In Exercises 3942, find dy/dx by implicit differentiation.
 3.41: In Exercises 3942, find dy/dx by implicit differentiation.
 3.42: In Exercises 3942, find dy/dx by implicit differentiation.
 3.43: In Exercises 43 and 44, find all derivatives of the function.
 3.44: In Exercises 43 and 44, find all derivatives of the function.
 3.45: In Exercises 4548, find an equation for the (a) tangent and (b) nor...
 3.46: In Exercises 4548, find an equation for the (a) tangent and (b) nor...
 3.47: In Exercises 4548, find an equation for the (a) tangent and (b) nor...
 3.48: In Exercises 4548, find an equation for the (a) tangent and (b) nor...
 3.49: In Exercises 4952, find an equation for the line tangent to the cur...
 3.50: In Exercises 4952, find an equation for the line tangent to the cur...
 3.51: In Exercises 4952, find an equation for the line tangent to the cur...
 3.52: In Exercises 4952, find an equation for the line tangent to the cur...
 3.53: (a) Graph the function x, 0 # x # 1 f!x" ! { 2 " x, 1 ' x # 2. (b) ...
 3.54: For what values of the constant m is sin 2x, x # 0 f!x" ! { mx, x )...
 3.55: In Exercises 5558, determine where the function is (a) differentiab...
 3.56: In Exercises 5558, determine where the function is (a) differentiab...
 3.57: In Exercises 5558, determine where the function is (a) differentiab...
 3.58: In Exercises 5558, determine where the function is (a) differentiab...
 3.59: In Exercises 59 and 60, use the graph of f to sketch the graph of f *
 3.60: In Exercises 59 and 60, use the graph of f to sketch the graph of f *
 3.61: The following graphs show the distance traveled, velocity, and acce...
 3.62: Sketch the graph of a continuous function f with f !0" ! 5 and "2, ...
 3.63: Sketch the graph of a continuous function f with f !"1" ! 2 and "2,...
 3.64: Which of the following statements could be true if f !!x" " x1#3? A...
 3.65: The following data give the coordinates of a moving body for variou...
 3.66: Suppose that a function f and its first derivative have the followi...
 3.67: Suppose that functions f and g and their first derivatives have the...
 3.68: Find the value of dw#ds at s " 0 if w " sin !#r$ ' 2" and r " 8 sin...
 3.69: Find the value of dr#dt at t " 0 if r " !u2 % 7"1#3 and u2t % u " 1...
 3.70: The position at time t ) 0 of a particle moving along the saxis is...
 3.71: On Earth, if you shoot a paper clip 64 ft straight up into the air ...
 3.72: Suppose two balls are falling from rest at a certain height in cent...
 3.73: If a hemispherical bowl of radius 10 in. is filled with water to a ...
 3.74: A bus will hold 60 people. The fare charged ( p dollars) is related...
 3.75: The figure shows a boat 1 km offshore sweeping the shore with a sea...
 3.76: The graph of y " sin !x # sin x" appears to have horizontal tangent...
 3.77: We measure the frequencies at which wires vibrate in cycles (trips ...
 3.78: The spread of measles in a certain school is given by P!t" " $1 & 2...
 3.79: Graph the function f !x" " tan#1 !tan 2x" in the window &#p, p' by ...
 3.80: If x2 # y2 " 1, find d2 y!dx2 at the point !2, (3)".
 3.81: A particle moves along the xaxis so that at any time t ( 0 its pos...
 3.82: Let y " . (a) Find $ d d y x $. (b) Find . (c) Find an equation of ...
 3.83: Let f (x) " ln (1 # x2). (a) State the domain of f . (b) Find f%(x)...
Solutions for Chapter 3: Calculus: Graphical, Numerical, Algebraic 3rd Edition
Full solutions for Calculus: Graphical, Numerical, Algebraic  3rd Edition
ISBN: 9780132014083
Solutions for Chapter 3
Get Full SolutionsCalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780132014083. Chapter 3 includes 83 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Graphical, Numerical, Algebraic, edition: 3. Since 83 problems in chapter 3 have been answered, more than 4168 students have viewed full stepbystep solutions from this chapter.

Arctangent function
See Inverse tangent function.

Common ratio
See Geometric sequence.

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

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

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Inverse cosine function
The function y = cos1 x

Length of a vector
See Magnitude of a vector.

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Nautical mile
Length of 1 minute of arc along the Earth’s equator.

Obtuse triangle
A triangle in which one angle is greater than 90°.

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Rational zeros
Zeros of a function that are rational numbers.

Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the xaxis, and a perpendicular dropped from a point on the terminal side to the xaxis. The angle in a reference triangle at the origin is the reference angle

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

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

Vertical line test
A test for determining whether a graph is a function.