Functii Derivabile & Tangenta [Clasa a XI-a]

Explore the theory and examples you need to master differentiable functions and tangents to curves in 11th-grade mathematics. This course covers essential concepts for achieving top marks.

Here's what you'll learn:

• Determining Differentiability: Understand and analyze the differentiability of functions at a specific point.
• Identifying the Domain of Differentiability: Learn to pinpoint the intervals where functions are differentiable.
• Differentiating Simple Functions: Master the techniques for finding derivatives of basic functions.
• Differentiating Composite Functions: Gain proficiency in calculating derivatives of functions composed of other functions.
• Solving Tangent Problems: Tackle a range of problems involving finding and analyzing tangents to curves.

This course represents the fourth step in your analysis journey for 11th grade, building upon prior knowledge of sequences/series, limits of sequences, functions/limits of functions, and continuous functions. You'll discover the beautiful and practical applications of differentiable functions – exercises that are both engaging and relevant to real-world scenarios.

You'll see how the concept of differentiability connects directly to everything you've learned previously. Like with continuous functions, the problem of differentiability is typically addressed at a single point, leading to the calculation of various derivatives – simple and complex – relevant for class, the Baccalaureate exam, and university admissions.

Furthermore, you'll explore both straightforward and challenging problems related to tangents to curves.

This course is designed for adult learners. Individuals under 18 can purchase the course only if a parent or guardian creates the account, manages the enrollment, and oversees account usage. Welcome!