Khan Academy

Intermediate value theorem (K-A)

Intermediate value theorem review (K-A)

Justification with the intermediate value theorem: equation (K-A)

Justification with the intermediate value theorem: table (K-A)

Worked example: using the intermediate value theorem (K-A)

Justifying the power rule-link (K-A)

Power rule (K-A)

Power rule (with rewriting the expression) (K-A)

Differentiability and continuity (K-A)

Differentiability at a point: algebraic (function is differentiable) (K-A)

Differentiability at a point: algebraic (function isn't differentiable) (K-A)

Differentiability at a point: graphical (K-A)

Proof: Differentiability implies continuity-link (K-A)

Derivative as a concept (K-A)

Derivative as slope of curve (K-A)

Derivative notation review (K-A)

Newton, Leibniz, and Usain Bolt (K-A)

Secant lines & average rate of change (K-A)

The derivative & tangent line equations (K-A)

Finding tangent line equations using the formal definition of a limit (K-A)

Formal and alternate form of the derivative (K-A)

Formal definition of the derivative as a limit (K-A)

The derivative of x² at any point using the formal definition (K-A)

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

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