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01. Differentiation from First Principles

From the DfE Mathematics AS and A-Level Content (LINK):

Gradient of a Straight Line

G1-01 [Differentiation: Gradient of a Straight Line]

G1-02 [Differentiation: Gradient Functions of Straight Lines]

Differentiating Polynomials

G1-03 [Differentiation: Gradient of a Curve]

G1-04 [Differentiation: Differentiating Polynomials]

Graphs of Gradient Functions

G1-05 [Differentiation: Graphs of Functions and Gradient Functions]

Second Derivatives

G1-06 [Differentiation: Second Derivatives]

G1-07 [Differentiation: Graphing the Second Derivative]

G1-08 [Differentiation: Graphing f’(x) and f’’(x) Example 1]

G1-09 [Differentiation: Graphing f’(x) and f’’(x) Example 2]

G1-10 [Differentiation: Graphing f’(x) and f’’(x) Example 3]

Differentiation from First Principles

G1-11 [Differentiation: Differentiation From First Principles]

G1-12 [Differentiation: Differentiate x^2 from First Principles]

G1-13 [Differentiation: Differentiate x^2 + 2x + 1 from First Principles]

G1-14 [Differentiation: Differentiate x^3 from First Principles]

G1-15 [Differentiation: Differentiate 4x^3 - 3x^2 from First Principles]