In the 11th-grade Algebra course (Mordkovich UMK), the (final diagnostic or semi-annual test) for the first semester typically focuses on transcendental functions, specifically exponential and logarithmic concepts, alongside foundations of mathematical analysis like derivatives . Core Topics for Semester 1
: Finding the derivative of a function at a specific point or determining the equation of a tangent. Preparation Checklist itogovyi srez po algebre 11 klass mordkovich 1 polugodie
: Properties, graphing, and solving exponential equations and inequalities. In the 11th-grade Algebra course (Mordkovich UMK), the
: Ensure you know the change-of-base formula and the rules for products/quotients. Monotonicity : Remember that for axa to the x-th power logaxlog base a of x , the inequality sign flips if Derivative Table : Memorize the derivatives for exe to the x-th power , and general power functions. : Ensure you know the change-of-base formula and
: Evaluating expressions with fractional powers and logarithms (e.g., Equations : Solving exponential equations (e.g., ) and logarithmic equations. Graphing : Constructing or identifying the graphs of and determining their domains. Inequalities : Solving inequalities like , paying close attention to the Domain of Definition (ODZ).