Differentiation

1. Techniques

1.1. Chain Rule

1.2. Product Rule

1.3. Quotient Rule

2. Applications

2.1. Gradient of Curve

2.1.1. Gradient Of Tangent

2.1.1.1. Gradient of Normal

2.2. Rate of Change

2.2.1. Vol

2.2.1.1. Cone = 1/3 * pi*r^2*h

2.2.1.2. Cylinder = pi*r^2*h

2.2.1.3. Sphere = 4/3 *pi*r^3

2.2.2. Surface Area

2.2.2.1. Cone = pi*r*l

2.2.2.2. Cylinder = 2pi*r*h +2pi*r^2

2.2.2.3. Sphere = 4*pi*r^2

2.2.3. Kinematics

2.3. Max/Min Problems

2.3.1. Nature of Stationary Point

2.3.1.1. d2y/dx2

2.3.1.2. table of values

2.3.2. Max/Min Values

3. Types Of Differentiation Qns

3.1. Involving x

3.2. Trigo

3.3. Exponential/Log