Published on February 27, 2014
Outline These will be some of the topics that I will be covering in this website. This is just a simplified version of each one of these topics that I will be covering more in depth In a separate post.
Learning about derivatives definition of a derivative
Power rule When your x term has a power you simply bring it to the front and then you subtract one from the original power to gain your new power.
Functions that you can use the power rule with f(x) = x² + 10 2x f(x) = 3x ² + 5x 6x + 5 f(x) = 4x3 + 2x2 + x 12x2 + 4x + 1
Product rule The derivative of a function where two terms are being multiplied can be expressed as the function of the first term times the derivative of the next term plus the derivative of the first term times the function of the second term.
Functions that you can use the Product rule with f(x) = 2x + 3 g(x) = 4x + 5 (f ⋅ g)′ = ( 2x + 3)( 4) + (2)(4x +5) = (8x + 12) + (8x +10 ) = 16x + 22
Quotient rule The derivative of a function with terms that are being divided can be expressed by the function of the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all over the denominator squared.
Functions that you can use the quotient rule with ((3x + 5) /(4x+ 2)) ′ = ((4x + 2)(3) – (3x + 5)(4))/(4x + 2)2 = 12x + 6 – (12x + 20) /(4x + 2)2 = -14/(4x + 2)2
Calculus is fun
Download Simple calculus overview part 1. Transcript. 1.
Share Simple calculus overview part 1.
Part 03 Implication of the Chain Rule for General Integration. Substitution Rule. Part 04 Example: Substitution Rule. Part 05 Example: Linear Substitution
Standard YouTube License; Loading ... Trigonometry for Calculus - Duration: 1:12:41. UMKC 170,798 views. 1:12:41 Calculus I - Lecture 04 ...
This book is a revised and expanded version of the lecture notes for Basic Calculus and other ... Most of the exercises are simple ... Chapter 1 is on sets ...
http://bit.ly/qYnN40 Want to see the ENTIRE Calculus in 20 Minutes for FREE? ... Calculus I in 20 Minutes (The ... Calculus 1 Lecture 1.1: ...
Lambda Calculus (Part I) Contents. ... Overview. Lambda calculus is a model of computation, ... Here's our simple example application again: (λx.x+1)3 .
Calculus Summary Calculus has two main parts: ... , and other examples of simple harmonic motion. ... part of Using Maple for ESG Subjects, ...