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Lecturio Calculus
01. Differentiation Basics - Lecturio Calculus
Chapter 1
Lecturio - Calculus: 01. Calculus Methods Gradients and First Principles
01. Calculus Introduction
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02. Gradients of Straight and Curved Lines
05. Gradients and First Principles Exercise 1
06. Gradients and First Principles Exercise 2
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07. Gradients and First Principles Exercise 3
5 Lessons
Chapter 2
Lecturio - Calculus: 02. Calculus Methods Differentiation
01. Differentiation Basics
02. Differentiation Method
03. Gradients of Tangents and Normals
04. Equations of Tangents and Lines
05. Gradient of a Point on a Curve
06. Gradient of a Curve Summary
6 Lessons
Chapter 3
Lecturio - Calculus: 03. Quotient Rule- Chain Rule and Product Rule
01. Differentiation Principles- Techniques and Applications
02. Chain Rule
03. Chain Rule Proof
04. Chain Rule Alternate Method
05. Product Rule
06. Product Rule Proof
07. Product Rule Example
08. Quotient Rule
10. Chain- Product and Quotient Rule Summary
11. Chain- Product and Quotient Rule Examples
12. Chain- Product and Quotient Rule Exercise 1
13. Chain- Product and Quotient Rule Exercise 2
14. Chain- Product and Quotient Rule Exercise 3
15. Chain- Product and Quotient Rule Exercise 4
16. Chain- Product and Quotient Rule Exercise 5
15 Lessons
Chapter 4
Lecturio - Calculus: 04. Differentiation of Trigonometric Functions
01. Standard Derivatives of Trigonometric Functions
02. Trigonometric Identities
03. Derivative of sin(x)
04. Derivative of cos(x)
05. Derivative of tan(x)
06. Differentiation of Trigonometric Functions Examples
07. Differentiating Trigonometric Functions
08. Differentiation of Trigonometric Functions Exercise 1
09. Differentiation of Trigonometric Functions Exercise 2
09. Differentiation of Trigonometric Functions Exercise 3
10. Differentiation of Trigonometric Functions Exercise 4
11 Lessons
Chapter 5
Lecturio - Calculus: 05. Differentiation of Exponential and Logarithmic Functions
02. Logarithm Rules
03. Proof of Log Properties Rule 1
04. Proof of Log Properties Rule 2
05. Proof of Log Properties Rule 3
06. Differentiation of Logs Example
07. Differentiation of Exponentials and Logs Exercise 1
08. Differentiation of Exponentials and Logs Exercise 2
09. Differentiation of Exponentials and Logs Exercise 3
10. Differentiation of Exponentials and Logs Exercise 4
9 Lessons
Chapter 6
Lecturio - Calculus: 06. Implicit Differentiation
01. Implicit Differentiation Example 1
02. Implicit Differentiation Example 2
04. Implicit Differentiation Exercise 1
05. Implicit Differentiation Exercise 2
06. Implicit Differentiation Exercise 3
07. Implicit Differentiation Exercise 4
6 Lessons
Chapter 7
Lecturio - Calculus: 07. Parametric Differentiation
01. Parametric Differentiation Introduction
02. Parametric Differentiation Example
03. Parametric Differentiation Summary
04. Parametric Differentiation Example 1
05. Parametric Differentiation Example 2
06. Parametric Differentiation Exercise 1
07. Parametric Differentiation Exercise 2
08. Parametric Differentiation Exercise 3
09. Parametric Differentiation Exercise 4 (1)
10. Parametric Differentiation Exercise 4 (2)
11. Parametric Differentiation Exercise 5
11 Lessons
Chapter 8
Lecturio - Calculus: 08. Differentiation of Inverse Functions
01. Differentiation of Inverse Functions Example 1
02. Differentiation of Inverse Functions Example 2
03. Differentiation of Inverse Functions Example 3
04. Differentiation of Inverse Functions Example 4
05. Inverse Differentiation Exercise 1
06. Inverse Differentiation Exercise 2
07. Inverse Differentiation Exercise 3
7 Lessons
Chapter 9
Lecturio - Calculus: 09. Stationary Points
01. Finding Stationary Points
02. Second Derivatives
03. Stationary Points Example 1
04. Stationary Points Example 2
05. Stationary Points Example 3
06. Stationary Points Exercise 1
07. Stationary Points Exercise 2
08. Stationary Points Exercise 3
09. Stationary Points Exercise 4
9 Lessons
Chapter 10
Lecturio - Calculus: 10. Basic Integration
01. Trapezium Rule Introduction
02. Trapezium Rule Example
03. Integration Method
04. Integration Method Example 1
05. Integration Method Example 2
06. Basic Integration Exercise 1
07. Basic Integration Exercise 2
08. Basic Integration Exercise 3
8 Lessons
Chapter 11
Lecturio - Calculus: 11. Advanced Integration
01. Table of Integrals and Derivatives
02. Integral Examples 1
03. Integral Examples 2
04. Integration by Substitution
05. Integration by Substitution Examples
06. Integration by Parts Example 1
07. Integration by Parts Example 2
08. Integration Exercise 1
09. Integration Exercise 2
10. Integration Exercise 3
10 Lessons
Chapter 12
Lecturio - Calculus: 12. Calculation Methods Exercises
01. Mathematics in Medicine Introduction
02. Mathematics in Medicine Exercise 1
03. Mathematics in Medicine Exercise 2
04. Mathematics in Medicine Exercise 3
4 Lessons
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