 3.2.1: The equation of the tangent line to the graph of y = ln x atx = e2 ...
 3.2.2: Find dy/dx.(a) y = ln 3x (b) y = ln x(c) y = log(1/x)
 3.2.3: Use logarithmic differentiation to find the derivative off(x) =x + ...
 3.2.4: limh0ln(1 + h)h =
 3.2.5: 126 Find dy/dx. y = ln x2 1
 3.2.6: 126 Find dy/dx. y = ln x3 7x2 3
 3.2.7: 126 Find dy/dx. y = ln x1 + x2
 3.2.8: 126 Find dy/dx. y = ln1 + x1 x
 3.2.9: 126 Find dy/dx. y = ln x2 1
 3.2.10: 126 Find dy/dx. y = (ln x)3
 3.2.11: 126 Find dy/dx. y = ln x
 3.2.12: 126 Find dy/dx. . y = ln x
 3.2.13: 126 Find dy/dx. y = x ln x
 3.2.14: 126 Find dy/dx. y = x3 ln x
 3.2.15: 126 Find dy/dx. y = x2 log2(3 2x)
 3.2.16: 126 Find dy/dx. y = x[log2(x2 2x)]3
 3.2.17: 126 Find dy/dx. y = x21 + log x
 3.2.18: 126 Find dy/dx. y = log x1 + log x
 3.2.19: 126 Find dy/dx. y = ln(ln x)
 3.2.20: 126 Find dy/dx. y = ln(ln(ln x))
 3.2.21: 126 Find dy/dx. y = ln(tan x)
 3.2.22: 126 Find dy/dx. y = ln(cos x)
 3.2.23: 126 Find dy/dx. y = cos(ln x) 2
 3.2.24: 126 Find dy/dx. y = sin2(ln x)
 3.2.25: 126 Find dy/dx. y = log(sin2 x)
 3.2.26: 126 Find dy/dx. y = log(sin2 x)
 3.2.27: 2730 Use the method of Example 3 to help perform the indicated diff...
 3.2.28: 2730 Use the method of Example 3 to help perform the indicated diff...
 3.2.29: 2730 Use the method of Example 3 to help perform the indicated diff...
 3.2.30: 2730 Use the method of Example 3 to help perform the indicated diff...
 3.2.31: 3134 TrueFalse Determine whether the statement is true or false. Ex...
 3.2.32: 3134 TrueFalse Determine whether the statement is true or false. Ex...
 3.2.33: 3134 TrueFalse Determine whether the statement is true or false. Ex...
 3.2.34: 3134 TrueFalse Determine whether the statement is true or false. Ex...
 3.2.35: 3538 Find dy/dx using logarithmic differentiation. y = x3 1 + x2
 3.2.36: 3538 Find dy/dx using logarithmic differentiation. y = 5x 1x + 1
 3.2.37: 3538 Find dy/dx using logarithmic differentiation. y = (x2 8)1/3x3 ...
 3.2.38: 3538 Find dy/dx using logarithmic differentiation. y = sin x cos x ...
 3.2.39: Find(a)ddx [logx e] (b)ddx [logx 2].
 3.2.40: Find(a)ddx [log(1/x) e] (b)ddx [log(ln x) e].
 3.2.41: 4144 Find the equation of the tangent line to the graph of y = f(x)...
 3.2.42: 4144 Find the equation of the tangent line to the graph of y = f(x)...
 3.2.43: 4144 Find the equation of the tangent line to the graph of y = f(x)...
 3.2.44: 4144 Find the equation of the tangent line to the graph of y = f(x)...
 3.2.45: (a) Find the equation of a line through the origin that istangent t...
 3.2.46: Use logarithmic differentiation to verify the product andquotient r...
 3.2.47: Find a formula for the area A(w) of the triangle bounded bythe tang...
 3.2.48: Find a formula for the area A(w) of the triangle boundedby the tang...
 3.2.49: Verify that y = ln(x + e)satisfies dy/dx = ey , with y = 1when x = 0.
 3.2.50: Verify that y = ln(e2 x) satisfies dy/dx = ey , withy = 2 when x = 0.
 3.2.51: Find a function f such that y = f(x)satisfies dy/dx = ey ,with y = ...
 3.2.52: . Find a function f such that y = f(x) satisfies dy/dx = ey ,with y...
 3.2.53: 5355 Find the limit by interpreting the expression as an appropriat...
 3.2.54: 5355 Find the limit by interpreting the expression as an appropriat...
 3.2.55: 5355 Find the limit by interpreting the expression as an appropriat...
 3.2.56: Modify the derivation of Equation (2) to give another proof of Equa...
 3.2.57: Let p denote the number of paramecia in a nutrient solutiont days a...
 3.2.58: Let p denote the population of the United States (in millions)in th...
 3.2.59: Writing Review the derivation of the formuladdx [ln x] =1xand then ...
 3.2.60: Writing Write a paragraph that explains how logarithmicdifferentiat...
Solutions for Chapter 3.2: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Full solutions for Calculus: Early Transcendentals,  10th Edition
ISBN: 9780470647691
Solutions for Chapter 3.2: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Chapter 3.2: DERIVATIVES OF LOGARITHMIC FUNCTIONS includes 60 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 60 problems in chapter 3.2: DERIVATIVES OF LOGARITHMIC FUNCTIONS have been answered, more than 42228 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Endpoint of an interval
A real number that represents one “end” of an interval.

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Horizontal translation
A shift of a graph to the left or right.

Identity
An equation that is always true throughout its domain.

Initial value of a function
ƒ 0.

Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

Main diagonal
The diagonal from the top left to the bottom right of a square matrix

Polar equation
An equation in r and ?.

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

Range screen
See Viewing window.

Reduced row echelon form
A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

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

Slant line
A line that is neither horizontal nor vertical

Terminal side of an angle
See Angle.

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.