Khan Academy

The derivative of x² at x=3 using the formal definition (K-A)

Worked example: Derivative as a limit (K-A)

Worked example: Derivative from limit expression (K-A)

Differentiating integer powers (mixed positive and negative) (K-A)

Differentiating polynomials (K-A)

Tangents of polynomials (K-A)

Basic derivative rules (K-A)

Basic derivative rules: find the error (K-A)

Basic derivative rules: table (K-A)

Justifying the basic derivative rules (K-A)

Derivative of ln(x) (K-A)

Derivative of 𝑒ˣ (K-A)

Derivatives of sin(x) and cos(x) (K-A)

Proof: the derivative of ln(x) is 1/x (K-A)

Proof: The derivative of 𝑒ˣ is 𝑒ˣ (K-A)

Proving the derivatives of sin(x) and cos(x) (K-A)

Worked example: Derivatives of sin(x) and cos(x) (K-A)

Estimating derivatives (K-A)

Derivatives of sec(x) and csc(x) (K-A)

Derivatives of tan(x) and cot(x) (K-A)

Justifying the power rule (K-A)

Limit of (1-cos(x))/x as x approaches 0 (K-A)

Limit of sin(x)/x as x approaches 0 (K-A)

Product rule proof (K-A)

Proof of power rule for positive integer powers (K-A)