'Natural logarithm function' presentation slideshows

CS 23022 Discrete Mathematical Structures

CS 23022 Discrete Mathematical Structures. Mehdi Ghayoumi MSB rm 132 mghayoum@kent.edu Ofc hr: Thur, 9:30-11:30a. Announcements. Homework 4 available. Due Mon 06/23 , 8a. Midterm : Next Mon 06/30/14, location 121 . Chapter 2.3 in Rosen and some other articles And Chapter 3 in Rosen.

461 views • 36 slides

Section 5.4 Logarithmic Functions

Section 5.4 Logarithmic Functions. (a) 3 raised to what power yields 81?. (b) 2 raised to what power yields ?. Natural Logarithm Function. The range of f is all real numbers and the vertical asymptote is x = 2.

477 views • 34 slides

Section 5.4 Logarithmic Functions

Section 5.4 Logarithmic Functions. OBJECTIVE 1. OBJECTIVE 2. OBJECTIVE 3. Graph the Logarithmic Function Domain: Range: Graph the Exponential Function Domain: Range:. OBJECTIVE 4. Natural Logarithm Function. OBJECTIVE 5.

257 views • 25 slides

Best-Fitting Bezier Curves for Graphs of Functions

Best-Fitting Bezier Curves for Graphs of Functions. Outline. This presentation looks at finding optimal Bezier curves Background and definitions Eight unknowns: Six constraints based on the functions and derivatives Two constraints based on minimizing the mean squared error

965 views • 24 slides

Natural Logs

Unit 6. Natural Logs. A logarithm is an exponent!. For x ? 0 and 0 ? a ? 1, y = log a x if and only if x = a y . The function given by f ( x ) = log a x i s called the logarithmic function with base a . Every logarithmic equation has an equivalent exponential form:

649 views • 24 slides

Common Logarithms

Common Logarithms. If x is a positive number, log x is the exponent of 10 that gives x. That is, y = log x if and only if 10 y = x.

1.27k views • 21 slides

3-2 Logarithmic Functions

3-2 Logarithmic Functions. Chapter 3 Exponential and Logarithmic Functions. Warm-up. Describe the transformation of f(x) that results in the graph of g(x). Then sketch each graph. 1. 2. 3. .

351 views • 21 slides

Chapter 4 The Exponential and Natural Logarithm Functions

371 views • 19 slides

MATLAB Trigonometry, Complex Numbers and Array Operations

MATLAB Trigonometry, Complex Numbers and Array Operations. Basic Trigonometry. Basic Trigonometric Expressions in MATLAB. sin( alpha ) Sine of alpha cos( alpha ) Cosine of alpha tan( alpha ) Tangent of alpha

308 views • 18 slides

302 views • 13 slides

144 views • 13 slides

Exponential Functions

Exponential Functions. If a > 0, a ? 1, f ( x ) = a x is a continuous function with domain R and range (0, ? ). In particular, a x > 0 for all x . If 0 < a < 1, f ( x ) = a x is a decreasing function . If a > 1, f is an increasing function.

590 views • 12 slides

3.2 Inverse Functions and Logarithms

3.2 Inverse Functions and Logarithms. 3.3 Derivatives of Logarithmic and Exponential functions. One-to-one functions. Definition: A function f is called a one-to-one function if it never takes on the same value twice; that is f(x 1 ) ? f(x 2 ) whenever x 1 ? x 2 .

773 views • 11 slides

8.5 Natural Logarithms

375 views • 10 slides

271 views • 9 slides

243 views • 9 slides

4.4 The Natural Logarithm Function

4.4 The Natural Logarithm Function. If we examine the reflection of points the line y = x, we will observe the following correspondence. Let us now consider the graph of y = e x. If we observe the reflections of the points of this exponential function, we see the graph to the right.

173 views • 9 slides

Ch. 22 OPTION VALUATION I. Black-Scholes Option Pricing Model

Ch. 22 OPTION VALUATION I. Black-Scholes Option Pricing Model C 0 = S 0 N(d 1 ) - Xe -rt N(d 2 ) where d 1 = [ln (S 0 /X) + (R F + s 2 /2)T] / s T .5 = hedge ratio d 2 = d 1 - s T .5 and ln = natural logarithm function e = 2.71828, the base of the natural logarithm

206 views • 1 slides