 3.6.1E: Derivative CalculationsGiven y = ƒ(u) and u = g(x), find dy/dx = f'...
 3.6.2E: Derivative CalculationsGiven y = ƒ(u) and u = g(x), find dy/dx = f'...
 3.6.3E: Derivative CalculationsGiven y = ƒ(u) and u = g(x), find dy/dx = f'...
 3.6.4E: In exercise
 3.6.5E: In exercise
 3.6.6E: Derivative CalculationsGiven y = ƒ(u) and u = g(x), find dy/dx = f'...
 3.6.7E: In exercise, given y = ƒ(u)u = g(x) , dy/dx ƒ ?(g(x))g ?(x) .
 3.6.8E: Derivative CalculationsGiven y = ƒ(u) and u = g(x), find dy/dx = f'...
 3.6.9E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.10E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.11E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.12E: In exercise, write the function in the form y = ƒ(u) and u = g(x). ...
 3.6.13E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.14E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.15E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.16E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.17E: In exercise, write the function in the form y = ƒ(u) and u = g(x). ...
 3.6.18E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.19E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.20E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.21E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.22E: Derivative CalculationsWrite the function in the form y = ƒ(u) and ...
 3.6.23E: Derivative CalculationsFind the derivatives of the functions.
 3.6.24E: Derivative CalculationsFind the derivatives of the functions.
 3.6.25E: Derivative CalculationsFind the derivatives of the functions.
 3.6.26E: Derivative CalculationsFind the derivatives of the functions.
 3.6.27E: Derivative CalculationsFind the derivatives of the functions.
 3.6.28E: Derivative CalculationsFind the derivatives of the functions.
 3.6.29E: Derivative CalculationsFind the derivatives of the functions.
 3.6.30E: Derivative CalculationsFind the derivatives of the functions.
 3.6.31E: Find the derivatives of the functions in Exercise
 3.6.32E: Derivative CalculationsFind the derivatives of the functions.
 3.6.33E: Derivative CalculationsFind the derivatives of the functions.
 3.6.34E: Derivative CalculationsFind the derivatives of the functions.
 3.6.35E: Find the derivatives of the functions in Exercise
 3.6.36E: Derivative CalculationsFind the derivatives of the functions.
 3.6.37E: Derivative CalculationsFind the derivatives of the functions.
 3.6.38E: Derivative CalculationsFind the derivatives of the functions.
 3.6.39E: Derivative CalculationsFind the derivatives of the functions.
 3.6.40E: Derivative CalculationsFind the derivatives of the functions.
 3.6.41E: Derivative CalculationsFind the derivatives of the functions.
 3.6.42E: Derivative CalculationsFind the derivatives of the functions.
 3.6.43E: Derivative CalculationsFind the derivatives of the functions.
 3.6.44E: Derivative CalculationsFind the derivatives of the functions.
 3.6.45E: Derivative CalculationsFind the derivatives of the functions.
 3.6.46E: Derivative CalculationsFind the derivatives of the functions.
 3.6.47E: Derivative CalculationsFind the derivatives of the functions.
 3.6.48E: Derivative CalculationsFind the derivatives of the functions.
 3.6.49E: Derivative CalculationsFind the derivatives of the functions.
 3.6.50E: Derivative CalculationsFind the derivatives of the functions.
 3.6.51E: Derivative CalculationsFind dy/dt.
 3.6.52E: Derivative CalculationsFind dy/dt.
 3.6.53E: Derivative CalculationsFind dy/dt.
 3.6.54E: Derivative CalculationsFind dy/dt.
 3.6.55E: Derivative CalculationsFind dy/dt.
 3.6.56E: Derivative CalculationsFind dy/dt.
 3.6.57E: Derivative CalculationsFind dy/dt.
 3.6.58E: Derivative CalculationsFind dy/dt.
 3.6.59E: Derivative CalculationsFind dy/dt.
 3.6.60E: Derivative CalculationsFind dy/dt.
 3.6.61E: Derivative CalculationsFind dy/dt.
 3.6.62E: Derivative CalculationsFind dy/dt.
 3.6.63E: Derivative CalculationsFind dy/dt.
 3.6.64E: Derivative CalculationsFind dy/dt.
 3.6.65E: Derivative CalculationsFind dy/dt.
 3.6.66E: Derivative CalculationsFind dy/dt.
 3.6.67E: Derivative CalculationsFind dy/dt.
 3.6.68E: Derivative CalculationsFind dy/dt.
 3.6.69E: Derivative CalculationsFind dy/dt.
 3.6.70E: Derivative CalculationsFind dy/dt.
 3.6.71E: Second DerivativesFind y ''
 3.6.72E: Second DerivativesFind y ''
 3.6.73E: Second DerivativesFind y ''
 3.6.74E: Second DerivativesFind y ''
 3.6.75E: Second DerivativesFind y ''
 3.6.76E: Second DerivativesFind y ''
 3.6.77E: Second DerivativesFind y ''
 3.6.78E: Second DerivativesFind y ''
 3.6.79E: Finding Derivative ValuesFind the value of at the given value of x.
 3.6.80E: Finding Derivative ValuesFind the value of at the given value of x.
 3.6.81E: Finding Derivative ValuesFind the value of at the given value of x.
 3.6.82E: Finding Derivative ValuesFind the value of at the given value of x.
 3.6.83E: Finding Derivative ValuesFind the value of at the given value of x.
 3.6.84E: Finding Derivative ValuesFind the value of at the given value of x.
 3.6.85E: Finding Derivative ValuesAssume that What is at y' x = 2?
 3.6.86E: Finding Derivative ValuesIf then what is dr/dt at t = 0?
 3.6.87E: Finding Derivative ValuesIf then what is dr/dt at t = 0?Suppose tha...
 3.6.88E: Finding Derivative ValuesSuppose that the functions ƒ and g and the...
 3.6.89E: Finding Derivative ValuesFind ds/dt when
 3.6.90E: Finding Derivative ValuesFind dy/dt when
 3.6.91E: Theory and ExamplesWhat happens if you can write a function as a co...
 3.6.92E: Theory and ExamplesWhat happens if you can write a function as a co...
 3.6.93E: Theory and ExamplesFind the tangent to
 3.6.94E: Theory and ExamplesFind the tangent to
 3.6.95E: Theory and Examplesa. Find the tangent to the curve b. Slopes on a ...
 3.6.96E: Theory and ExamplesSlopes on sine curvesa. Find equations for the t...
 3.6.97E: Theory and ExamplesRunning machinery too fast Suppose that a piston...
 3.6.98E: Theory and ExamplesTemperatures in Fairbanks, Alaska The graph in t...
 3.6.99E: Theory and ExamplesParticle motion The position of a particle movin...
 3.6.100E: Theory and ExamplesConstant acceleration Suppose that the velocity ...
 3.6.101E: Theory and ExamplesFalling meteorite The velocity of a heavy meteor...
 3.6.102E: Theory and ExamplesParticle acceleration A particle moves along the...
 3.6.103E: Theory and ExamplesTemperature and the period of a pendulum For osc...
 3.6.104E: Theory and ExamplesChain Rule Suppose that Then the composites are ...
 3.6.105E: Theory and ExamplesThe derivative of sin 2 x Graph the function for...
 3.6.106E: Theory and ExamplesThe derivative of Graph for Then, on the same sc...
 3.6.107E: Theory and ExamplesUsing the Chain Rule, show that the Power Rule h...
 3.6.108E: Theory and ExamplesUsing the Chain Rule, show that the Power Rule h...
 3.6.109E: COMPUTER EXPLORATIONSTrigonometric PolynomialsAs the accompanying f...
 3.6.110E: COMPUTER EXPLORATIONS(Continuation of Exercise 109.) In Exercise 10...
Solutions for Chapter 3.6: Thomas' Calculus: Early Transcendentals 13th Edition
Full solutions for Thomas' Calculus: Early Transcendentals  13th Edition
ISBN: 9780321884077
Solutions for Chapter 3.6
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Chapter 3.6 includes 110 full stepbystep solutions. Since 110 problems in chapter 3.6 have been answered, more than 223186 students have viewed full stepbystep solutions from this chapter.

Absolute maximum
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

Addition property of inequality
If u < v , then u + w < v + w

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

Complements or complementary angles
Two angles of positive measure whose sum is 90°

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Doubleblind experiment
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

General form (of a line)
Ax + By + C = 0, where A and B are not both zero.

Interval
Connected subset of the real number line with at least two points, p. 4.

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Negative angle
Angle generated by clockwise rotation.

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Pointslope form (of a line)
y  y1 = m1x  x 12.

Polar equation
An equation in r and ?.

Pythagorean identities
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

Rose curve
A graph of a polar equation or r = a cos nu.

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>

Weights
See Weighted mean.

xaxis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.