Higher Differentiation (51-59)
Introduction to Differentiation. Applications of Differentiation, Curve Sketching, Stationary Points , Maximum and Minimum Values, Equations of Tangents to Curves and Optimisation.
51a. Basic Differentiation
51a. Basic Differentiation Exercise
51b. Applications of basic Differentiation
51b. Applications of basic Differentiation
51c. Preparing an expression for Differentiation
51c. Preparing an expression for Differentiation
52. The Rate of Change
52. The Rate of Change Exercise
53. The Equation of a Tangent to a Curve
53. The Equation of a Tangent to a Curve Exercise
54a. Stationary Points
54a. Stationary Points Exercise
54b. Finding Maximum and Minimum in a given range
54b. Finding Maximum and Minimum in a given range
55. Curve Sketching
55. Curve Sketching Exercise
56. Sketching the Graph of f'(x)
56. Sketching the Graph of f'(x) Exercise
57. The Chain Rule
57. The Chain Rule Exercise
58a. Differentiating Sin and Cos
58a. Differentiating Sin and Cos Exercise
58b. Tricky Trig Differentiation
58b. Tricky Trig Differentiation Exercise
59. Optimisation
59. Optimisation Exercise