 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 82286 students have viewed full stepbystep solutions from this chapter.

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

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

Compound interest
Interest that becomes part of the investment

Compounded continuously
Interest compounded using the formula A = Pert

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Factored form
The left side of u(v + w) = uv + uw.

First quartile
See Quartile.

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

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Lower bound test for real zeros
A test for finding a lower bound for the real zeros of a polynomial

LRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the lefthand endpoint of each subinterval

Modulus
See Absolute value of a complex number.

nset
A set of n objects.

Octants
The eight regions of space determined by the coordinate planes.

Open interval
An interval that does not include its endpoints.

PH
The measure of acidity

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Regression model
An equation found by regression and which can be used to predict unknown values.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Standard form of a complex number
a + bi, where a and b are real numbers