Lessons
Differentiation of Inverse Sine Function
- Video - Differentiation Formula of Inverse Sine Function (2:06)
- Video - Proof of Differentiation of Inverse Sine Function (2:48)
- Video - Differentiation of Inverse Sine Function (1:37)
- Video - Differentiation of Inverse Sine Function involving Chain Rule (2:36)
- Video - Differentiation of Inverse Sine Function involving Product Rule (1:38)
- Video - Differentiation of Inverse Sine Function involving Exponential Function (1:00)
- Video - Differentiation of Inverse Sine Function involving Reciprocal Function (1:36)
- Topic - Proving Differentiation of Inverse Sine
- Topic - Differentiation of Inverse Sine involving Chain Rule 1
- Topic - Differentiation of Inverse Sine involving Chain Rule 2
- Topic - Differentiation of Inverse Sine involving Chain Rule 3
- Topic - Differentiation of Inverse Sine involving Chain Rule 4
- Topic - Differentiation of Inverse Sine involving Chain Rule 5
- Topic - Differentiation of Inverse Sine involving Chain Rule 6
- Topic - Differentiation of Inverse Sine involving Chain Rule 7
Differentiation of Inverse Cosine Function
- Video - Differentiation Formula of Inverse Cosine Function (2:12)
- Video - Proof of Differentiation of Inverse Cosine Function (1:50)
- Video - Differentiation of Inverse Cosine Function (1:25)
- Video - Differentiation of Inverse Cosine Function involving Chain Rule (1:51)
- Video - Differentiation of Inverse Cosine Function involving Surds (1:48)
- Video - Differentiation of Inverse Cosine Function involving Sine Function (1:34)
- Topic - Proving Differentiation of Inverse Cosine
- Topic - Differentiation of Inverse Cosine involving Chain Rule 1
- Topic - Differentiation of Inverse Cosine involving Chain Rule 2
- Topic - Differentiation of Inverse Cosine involving Chain Rule 3
- Topic - Differentiation of Inverse Cosine involving Chain Rule 4
- Topic - Differentiation of Inverse Cosine involving Chain Rule 5
- Topic - Differentiation of Inverse Cosine involving Chain Rule 6
- Topic - Differentiation of Inverse Cosine involving Chain Rule 7
Differentiation of Inverse Tangent Function
- Video - Differentiation Formula of Inverse Tangent Function (2:27)
- Video - Proof of Differentiation of Inverse Tangent Function (1:31)
- Video - Differentiation of Inverse Tangent Function (1:40)
- Video - Differentiation of Inverse Tangent Function involving Chain Rule (3:43)
- Video - Differentiation of Inverse Tangent Function involving Logarithmic Function (2:27)
- Video - Differentiation of Inverse Tangent Function involving Sine Function (1:41)
- Topic - Proving Differentiation of Inverse Tangent
- Topic - Differentiation of Inverse Tangent involving Chain Rule 1
- Topic - Differentiation of Inverse Tangent involving Chain Rule 2
- Topic - Differentiation of Inverse Tangent involving Chain Rule 3
- Topic - Differentiation of Inverse Tangent involving Chain Rule 4
- Topic - Differentiation of Inverse Tangent involving Chain Rule 5
- Topic - Differentiation of Inverse Tangent involving Chain Rule 6
- Topic - Differentiation of Inverse Tangent involving Chain Rule 7
Implicit Differentiation
- Topic - Implicit Differentiation of Circles
- Topic - Implicit Differentiation of Circles in General Form 1
- Topic - Implicit Differentiation of Circles in General Form 2
- Topic - Implicit Differentiation of Parabola
- Topic - Implicit Differentiation of Hyperbola
- Topic - Implicit Differentiation of Ellipse
Integrations Resulting Natural Logarithmic Functions
- Video - Integrations involving Natural Logarithmic functions (3:17)
- Video - Integrating Linear by Linear Resulting Natural Log Functions (3:11)
- Video - Integrating Quadratics by Linear Resulting Natural Log Functions (2:18)
- Video - Integrations of Cubic by Quadratic Resulting Natural Log Functions (2:31)
- Video - Prove Integration Formula Resulting Natural Log Functions (6:53)
Indefinite Integration by Parts
- Video - Understanding Integration by Parts (4:14)
- Video - Integration by Parts: x times cos x (1:33)
- Video - Integration by Parts: Square of Logarithmic Functions (2:51)
- Video - Integration by Parts: Exponential Function times cos x (3:30)
- Video - Integration by Parts: x^2 times cos x (2:12)
- Video - Integration by Parts: Inverse sin x (3:22)
- Video - Integration by Parts: Inverse tan x (1:17)
- Video - Integration by Parts: sec^3 x (4:02)
- Video - Integration by Parts involving Substitution (2:33)
Integrations Resulting in Inverse Sine Functions
- Video - Indefinite Integration of Inverse Sine Function (3:33)
- Video - Definite Integration of Inverse Sine Function (1:31)
- Topic - Indefinite Integration of Inverse Sine 1
- Topic - Indefinite Integration of Inverse Sine 2
- Topic - Indefinite Integration of Inverse Sine 3
- Topic - Indefinite Integration of Inverse Sine 4
- Topic - Indefinite Integration of Inverse Sine 5
- Topic - Definite Integration of Inverse Sine 1
- Topic - Definite Integration of Inverse Sine 2
Integrations Resulting in Inverse Cosine Functions
- Video - Indefinite Integration of Inverse Cosine Function (5:48)
- Video - Definite Integration of Inverse Cosine Function (3:15)
- Topic - Indefinite Integration of Inverse CosIne 1
- Topic - Indefinite Integration of Inverse CosIne 2
- Topic - Indefinite Integration of Inverse CosIne 3
- Topic - Indefinite Integration of Inverse CosIne 4
- Topic - Indefinite Integration of Inverse CosIne 5
- Topic - Definite Integration of Inverse CosIne 1
- Topic - Definite Integration of Inverse CosIne 2
Integrations Resulting in Inverse Tangent Functions
- Video - Indefinite Integrations resulted Inverse Tangent Function (4:18)
- Video - Indefinite Integrations resulted Inverse Tangent Function by Substitution (3:16)
- Topic - Indefinite Integration of Inverse Tangent 1
- Topic - Indefinite Integration of Inverse Tangent 2
- Topic - Indefinite Integration of Inverse Tangent 3
- Topic - Indefinite Integration of Inverse Tangent 4
- Topic - Indefinite Integration of Inverse Tangent 5
- Topic - Definite Integration of Inverse Tangent
De Moivre's Theorem
- Video - Understanding De Moivre's Theorem (2:44)
- Video - Proof of De Moivre's Theorem Multiplication (3:42)
- Video - Proof of De Moivre's Theorem Division (2:20)
- Video - Proof of De Moivre's Theorem Subtraction (4:04)
- Video - Simplifying Complex Numbers using De Moivre's Theorem (7:42)
- Video - Purely Imaginary using De Moivre's Theorem (5:11)
- Video - Purely Real using De Moivre's Theorem (5:24)
- Video - Trigonometric Expression using De Moivre's Theorem (5:27)
- Video - De Moivre's Theorem involving Conjugate Pairs (6:58)
- Video - Trigonometric Properties & De Moivre's Theorem (6:04)
Roots of Complex Numbers
- Video - Nth Roots of Unity using Complex Numbers (8:04)
- Video - Complex Roots of Unity (6:03)
- Video - 4th Roots of Unity using Complex Numbers (3:09)
- Video - 5th Roots of Unity using Complex Numbers (1:57)
- Video - 6th Roots of Unity using Complex Numbers (2:30)
- Video - Cube Roots of Negative Unity using Complex Numbers (2:09)
- Video - 4th Roots of 4 using Complex Numbers (2:32)
- Video - 5th Roots of -32 using Complex Numbers (2:45)
- Video - Cube Roots of i using Complex Numbers (2:19)
- Video - 4th Roots of -16i using Complex Numbers (1:42)
- Video - 5th Roots of 1+i using Complex Numbers (2:07)
- Video - Cube Roots of Irrational Real Part & i using Complex Numbers (1:30)
- Video - Exact Values of Trigonometric Ratios involving Fifth Roots (6:37)
- Video - Seventh Root of Unity (6:46)
Differential Equations of the Form dy/dx = f(x)
- Topic - General Solutions of dy/dx = f(x) Polynomial Functions
- Topic - General Solutions of dy/dx = f(x) Exponential Functions
- Topic - General Solutions of dy/dx = f(x) Surd Functions
- Topic - General Solutions of dy/dx = f(x) Trigonometric Functions
- Topic - Particular Solutions of dy/dx = f(x) Substitution Method
- Topic - Particular Solutions of dy/dx = f(x) Multiple Choices
Differential Equations of the Form dy/dx = g(y)
- Topic - General Solutions of dy/dx = g(y) Polynomials
- Topic - General Solutions of dy/dx = g(y) Trigonometric Functions
- Topic - Particular Solutions of dy/dx = g(y) Inverse Sine Functions
- Topic - General Solutions of dy/dx = g(y) Exponential Functions
- Topic - General Solutions of dy/dx = g(y) Square Root Functions
- Topic - Particular Solutions of dy/dx = g(y) Surd Functions
