Archive for category Differentiation

F7 – Differentiation 5

Implicit differentiation Implicit differentiation (8.02) Example 1 (4.56) Example 2 (4.08) Example 3 (7.10) Example 4 (5.58) Finding the slope of a tangent line using implicit differentiation (5.25) More examples and explanation of method (8.09) Derivatives of inverse trigonometric functions (8.54)

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F6 – Differentiation 4

Linearization Finding the equation of a tangent line (9.45) Linearization (4.11) Approximating functions using linearization (8.19) Another example (4.23) Examples using differentials (watch from 21:45 to 39.15) Newton’s method of approximating roots Newton’s method (same video as above – watch from 39.15 onwards) PatrickJMT’s explanation and example (7.30) Optimization Example 1 (7.14) Example 2 (7.06) Example 3 (10.02) Khan’s Examples Related rates Radius and area […]

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F5 – Differentiation 3

Graphing What are stationary/turning points (6.30) Finding stationary/turning points (8.34) Concavity – please ignore his use of the word differential and replace with it with derivative (8.52) Inflection points – this is an often confused topic, and I couldn’t find a decent video that wouldn’t blur the truth, so here we go: an inflection point is a point where […]

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F4 – Differentiation 2

Differentiation rules Power rule (3.54) Polynomials (9.53) Using linearity (8.59) Trig, exp and log rules (3.43) Rational expressions and fractional indices (9.51) The chain rule (5.30) Chain rule examples (3.33) Leibnitz notation chain rule (3.45) Product rule (2.40) More product rule (3.34) Exponential rules (3.34) Why the quotient rule works (5.14) Quotient rule example (5.30) Exponential functions (5.50) Hyperbolic functions (7.55)

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F3 – Differentiation 1

Rates of change and first principles Slopes of secants and average rates of change (9.36) Slopes of tangents and instantaneous rates of change (9.25) Khan’s Intro (15.42) First principles (3.37) More examples (3.30) Not differentiable When a function is not differentiable (21.40) Graphing the derivative function Graphing a derivative function (11.59) Sketching the derivative of a function (14.50)

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