Differentiation

About Course

Learn Differentiation online at classuser.com through comprehensive notes covering derivatives, gradients, and instantaneous rates of change. Available only at classuser.com, this course explains differentiation from first principles, derivative notation, the power rule, product rule, quotient rule, chain rule, and implicit differentiation.

The course also covers derivatives of trigonometric, inverse trigonometric, logarithmic, exponential, and parametric functions, together with second derivatives and partial derivatives. Learners will apply differentiation to rates of change, velocity and acceleration, small changes, turning points, maximum and minimum values, points of inflexion, and function expansions using Taylor and Maclaurin series.

NEW SYLLABUS TOPIC FOR FORM FIVE
Main Competences: 1) Demonstrate mastery of some advanced concepts in Mathematics
Specific Competences: 1.1) Demonstrate an advanced understanding of knowledge and skills in Mathematics
Learning Activities: 1.1.A) Explore advanced tenets of functions (polynomials, rational, composite, exponential, and logarithmic).
Learning Activities: 1.1.B) Explore advanced tenets of linear programming (transportation: two sources and two destinations, two sources and three destinations)

Course Content

1. Demonstrate mastery of some advanced concept in mathematics

1.2. Demonstrate basic understanding of calculus

A) Explore basic tenets of differentiation(First principle ,power rule chain rule ,product rule ,quotient rule and partial derivaties

B) Determine the nature of stationary points,rate of change between quantities and series of expansion of different quantities

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About Course

What Will You Learn?

Course Content

1. Demonstrate mastery of some advanced concept in mathematics

1.2. Demonstrate basic understanding of calculus

A) Explore basic tenets of differentiation(First principle ,power rule chain rule ,product rule ,quotient rule and partial derivaties

1) Introduction to differentiation and first principle

2) Differentiation of a function (polynomial function)

3) Chain rule

4) Differentiation of implicit functions

5) Derivative of of trigonometric function

6) Derivative of inverse of trigonometric function

7) Differentiation of logarithmic function

8) Second derivative of a function

B) Determine the nature of stationary points,rate of change between quantities and series of expansion of different quantities

1 ) Application of differentiation (Problem solving involving small changes)

2) Application of differentiation ( problem on rate of charge distance velocity and acceleration)

3) Turning points and points of inflexion-real problem on maximum and minimum values

4) Taylor and Maclaurin’s series

5) Introduction to partial derivatives