 3.8.1: Explain why the natural logarithmic function is used much more freq...
 3.8.2: Differentiate the function.
 3.8.3: Differentiate the function.
 3.8.4: Differentiate the function.
 3.8.5: Differentiate the function.
 3.8.6: Differentiate the function.
 3.8.7: Differentiate the function.
 3.8.8: Differentiate the function.
 3.8.9: Differentiate the function.
 3.8.10: Differentiate the function.
 3.8.11: Differentiate the function.
 3.8.12: Differentiate the function.
 3.8.13: Differentiate the function.
 3.8.14: Differentiate the function.
 3.8.15: Differentiate the function.
 3.8.16: Differentiate the function.
 3.8.17: Differentiate the function.
 3.8.18: Differentiate the function.
 3.8.19: Differentiate the function.
 3.8.20: Differentiate the function.
 3.8.21: Find y and y.
 3.8.22: Find y and y.
 3.8.23: Find y and y.
 3.8.24: Find y and y.
 3.8.25: Differentiate f and find the domain of f.
 3.8.26: Differentiate f and find the domain of f.
 3.8.27: Differentiate f and find the domain of f.
 3.8.28: Differentiate f and find the domain of f.
 3.8.29: If f x fe = xln x , find fe x.
 3.8.30: If , f x x find . f1 2 ln
 3.8.31: Find an equation of the tangent line to the curve at the given point.
 3.8.32: Find an equation of the tangent line to the curve at the given point.
 3.8.33: If , find . Check that your answer is reasonable by comparing the g...
 3.8.34: Find equations of the tangent lines to the curve at the points and ...
 3.8.35: Use logarithmic differentiation to find the derivative of the funct...
 3.8.36: Use logarithmic differentiation to find the derivative of the funct...
 3.8.37: Use logarithmic differentiation to find the derivative of the funct...
 3.8.38: Use logarithmic differentiation to find the derivative of the funct...
 3.8.39: Use logarithmic differentiation to find the derivative of the funct...
 3.8.40: Use logarithmic differentiation to find the derivative of the funct...
 3.8.41: Use logarithmic differentiation to find the derivative of the funct...
 3.8.42: Use logarithmic differentiation to find the derivative of the funct...
 3.8.43: Use logarithmic differentiation to find the derivative of the funct...
 3.8.44: Use logarithmic differentiation to find the derivative of the funct...
 3.8.45: Use logarithmic differentiation to find the derivative of the funct...
 3.8.46: Use logarithmic differentiation to find the derivative of the funct...
 3.8.47: Find y if y = lnx 2 y 2 y .
 3.8.48: Find y if xy yx 4
 3.8.49: Find a formula for f f x lnx 1 nxx
 3.8.50: Find d9dx 9 x 8 ln xf
 3.8.51: Use the definition of derivative to prove that limxl0ln1 xx 1
 3.8.52: Show that lim x 0 n l 1 xn n for any .
Solutions for Chapter 3.8: Derivatives of Logarithmic Functions
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 3.8: Derivatives of Logarithmic Functions
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Calculus, was written by and is associated to the ISBN: 9780534393397. Since 52 problems in chapter 3.8: Derivatives of Logarithmic Functions have been answered, more than 45215 students have viewed full stepbystep solutions from this chapter. Chapter 3.8: Derivatives of Logarithmic Functions includes 52 full stepbystep solutions.

Angle
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

Arccosecant function
See Inverse cosecant function.

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Common difference
See Arithmetic sequence.

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Dependent variable
Variable representing the range value of a function (usually y)

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

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

Line graph
A graph of data in which consecutive data points are connected by line segments

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

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

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

Parabola
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Reexpression of data
A transformation of a data set.

Symmetric property of equality
If a = b, then b = a

Yscl
The scale of the tick marks on the yaxis in a viewing window.