Mada za sehemu hiiUse Algebra and Calculus to solve problems in different contextsMada 6
- Explore the basic tenets of Algebra (sum and product of roots of a quadratic equation, solve algebraically and graphically linear and one quadratic equation, use the remainder theorem to find a remainder of a polynomial function of up to third degree, simultaneous equations involving one unknown)
- Explore the basic tenets of Rational Functions (properties, asymptotes, domain and range, graphs)
- Explore the basic tenets of Differentiation (derivatives of polynomial and trigonometric functions: first principles, power rule, chain rule, product rule and quotient rule)
- Apply differentiation to determine rates of change of quantities, maxima and minima of functions, turning points, points of inflection and curve sketching
- Determine indefinite and definite integrals of polynomial expressions and simple trigonometric functions
- Apply Integration to determine area under a curve and volume of a solid of revolution of a simple curve about an axis
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