'Examples find' presentation slideshows

COMP 116: Introduction to Scientific Programming

347 views • 26 slides

2.2 Limits Involving Infinity

2.2 Limits Involving Infinity. The symbol ?. The symbol ? means unbounded in the positive direction. (-? in negative direction) It is NOT a number!. The line y = 0 is a horizontal asymptote for f.

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Functions

Functions. Function Notation. f(x) is a fancy way of saying ____. Why use function notation?. How can we tell if a relation between two variables represents a function?. Every value for _____ must yield _______ _____ value for _____.

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Solve for x in the following 45-45-90 triangles

Solve for x in the following 45-45-90 triangles. 10 X x . What is the rule with the 45-45-90 triangle?. 30- 60 -90 Triangle. A 30-60-90 is an equilateral triangle that is bisected!! ?. Section 5.9. Triangle ABC is equilateral, and is an altitude or height.

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Derivative Involving Exponential & Logarithmic Functions

Derivative Involving Exponential & Logarithmic Functions. Formulas. Let a be a positive number other than one. Then: 1. f(x) = a x ? f' (x)= a x lna Special Case: f(x) = e x ? f' (x)= e x 2. f(x) = log a x ? f' (x)= (1/x) (1/lna) Special Case: f(x) = lnx ? f' (x)= 1/x. Examples.

290 views • 12 slides

Derivative Involving Exponential & Logarithmic Functions

Derivative Involving Exponential & Logarithmic Functions. Formulas. Let a be a positive number other than one. Then: 1. f(x) = a x ? f' (x)= a x lna Special Case: f(x) = e x ? f' (x)= e x 2. f(x) = log a x ? f' (x)= (1/x) (1/lna) Special Case: f(x) = lnx ? f' (x)= 1/x. Examples.

267 views • 12 slides

Mean Value Theorem for Integrals

Mean Value Theorem for Integrals. If f(x) is continuous on [a, b], then there exists a number x=c in [a, b] such that. For continuous functions, there must be some average value such that the area under the original curve is equal to the average value multiplied by the length from x=a to x=b.

837 views • 7 slides

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