 3.6.1: Explain why the natural logarithmic function is used much more freq...
 3.6.2: 222 Differentiate the function.fx x ln x x
 3.6.3: 222 Differentiate the function.fx sinln x x
 3.6.4: 222 Differentiate the function.fx lnsin2
 3.6.5: 222 Differentiate the function.fx ln 1x
 3.6.6: 222 Differentiate the function.y 1ln x f
 3.6.7: 222 Differentiate the function.fx log10x 3 1y
 3.6.8: 222 Differentiate the function.fx log5xe x
 3.6.9: 222 Differentiate the function.fx sin x ln5xf
 3.6.10: 222 Differentiate the function.fu u1 ln u f
 3.6.11: 222 Differentiate the function.tx ln(xsx
 3.6.12: 222 Differentiate the function.hx ln(x sx t
 3.6.13: 222 Differentiate the function.2y 15sy 2 1h
 3.6.14: 222 Differentiate the function.tr r 2 Gln2r 1
 3.6.15: 222 Differentiate the function.F s ln ln s
 3.6.16: 222 Differentiate the function. ln 1 t t3
 3.6.17: 222 Differentiate the function.y tanlnax by
 3.6.18: 222 Differentiate the function.y ln cosln x y
 3.6.19: 222 Differentiate the function.y lnex xexy
 3.6.20: 222 Differentiate the function.Hz ln a2 z 2a2 z 2 y
 3.6.21: 222 Differentiate the function.y 2x log10sx c
 3.6.22: 222 Differentiate the function.y log2excos x
 3.6.23: 2326 Find and .y x 2 ln2x
 3.6.24: 2326 Find and .y ln xx 2 y
 3.6.25: 2326 Find and .y ln(x s1 x y
 3.6.26: 2326 Find and .y lnsec x tan x 2
 3.6.27: 2730 Differentiate and find the domain of .1 lnx 1
 3.6.28: 2730 Differentiate and find the domain of .fx s2 ln x x
 3.6.29: 2730 Differentiate and find the domain of .fx lnx 2x
 3.6.30: 2730 Differentiate and find the domain of .fx ln ln ln x 2
 3.6.31: If , find .
 3.6.32: If f x ln1 e , find . f 0
 3.6.33: 3334 Find an equation of the tangent line to the curve at the given...
 3.6.34: 3334 Find an equation of the tangent line to the curve at the given...
 3.6.35: If , find . Check that your answer is
 3.6.36: Find equations of the tangent lines to the curve at the points and ...
 3.6.37: . Let . For what value of is ?
 3.6.38: Let . For what value of is ?
 3.6.39: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.40: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.41: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.42: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.43: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.44: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.45: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.46: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.47: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.48: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.49: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.50: 3950 Use logarithmic differentiation to find the derivative of the ...
 3.6.51: Find if .
 3.6.52: Find if .
 3.6.53: Find a formula for if .
 3.6.54: Find .d 9dx 9 x 8 ln x
 3.6.55: Use the definition of derivative to prove that
 3.6.56: Show that for any . y lnx 2 3x 1 3, 0 y x 2 ln x 1, 0 f f f x sin x...
Solutions for Chapter 3.6: Derivatives of Logarithmic Functions
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 3.6: Derivatives of Logarithmic Functions
Get Full SolutionsCalculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Since 56 problems in chapter 3.6: Derivatives of Logarithmic Functions have been answered, more than 29362 students have viewed full stepbystep solutions from this chapter. Chapter 3.6: Derivatives of Logarithmic Functions includes 56 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Coordinate plane
See Cartesian coordinate system.

Dihedral angle
An angle formed by two intersecting planes,

Divisor of a polynomial
See Division algorithm for polynomials.

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

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

Instantaneous rate of change
See Derivative at x = a.

Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x

Matrix element
Any of the real numbers in a matrix

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Polar form of a complex number
See Trigonometric form of a complex number.

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Rational function
Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

Reference angle
See Reference triangle

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Venn diagram
A visualization of the relationships among events within a sample space.

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

Xscl
The scale of the tick marks on the xaxis in a viewing window.