Khan Academy

Product rule to find derivative of product of three functions (K-A)

Disguised derivatives-video (K-A)

Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiation (K-A)

Implicit differentiation (advanced example) (K-A)

Implicit differentiation (advanced example)–video (K-A)

Implicit differentiation (advanced example)-video (K-A)

Implicit differentiation review (K-A)

Implicit differentiation review-notes (K-A)

Implicit differentiation-video (K-A)

Showing explicit and implicit differentiation give same result (K-A)

Worked example: Evaluating derivative with implicit differentiation (K-A)

Composite exponential function differentiation (K-A)

Worked example: Implicit differentiation (K-A)

Worked example: Composite exponential function differentiation (K-A)

Derivative of aˣ (for any positive base a) (K-A)

Derivative of logₐx (for any positive base a≠1) (K-A)

Derivative rules review (K-A)

Chain rule proof (K-A)

Proving the chain rule (K-A)

If function u is continuous at x, then Δu→0 as Δx→0 (K-A)

Worked example: Derivative of 7^(x²-x) using the chain rule (K-A)

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

Worked example: Derivative of ∜(x³+4x²+7) using the chain rule (K-A)

Worked example: Derivative of log₄(x²+x) using the chain rule (K-A)

Quotient rule from product & chain rules (K-A)