12th Grade Applications Interactive Videos

Explore the concept of inverse functions, focusing on the relationship of ordered pairs and the mathematical criteria used to identify if an inverse is a function. Develop skills in verification techniques while enhancing the ability to determine and solve inverse functions through practical applications.

Exploring fundamental principles of verifying inverse functions through composition, with a strong focus on algebraic concepts. Learners will build the ability to use composition to identify inverse relationships and effectively analyze function relationships.

Explore the concept of finding derivatives of inverse functions, with a focus on understanding inverse relations and utilizing implicit differentiation. Master the skill of calculating derivatives and apply these techniques to solve complex mathematical problems effectively.

Focus on mastering exponential equations by utilizing the laws of exponents. Build skills in applying these laws to tackle complex problems, thereby enhancing mathematical problem-solving abilities.

Focus on deriving and understanding inverse sine functions, highlighting the significance of range restrictions and associated trigonometric identities. Develop skills in calculating derivatives of inverse trigonometric functions, thereby enhancing mathematical problem-solving abilities.

Explore the application of exponential functions in investment models, focusing on continuous compounding and properties of exponents. Understand how to simplify expressions and transform exponential models to effectively analyze unfamiliar scenarios.

Explore the intricacies of inverse trigonometric functions, focusing on their theoretical and practical applications in trigonometry. Enhance understanding of core trigonometric concepts and develop skills to apply these functions effectively in various mathematical contexts.

Discover essential methods for solving differential equations, including integration techniques and concepts like exponential growth and decay, along with relevant mathematical principles. Develop skills to identify and solve different types of differential equations, enhancing problem-solving abilities within the realm of calculus.

Explore the intricacies of exponential functions by understanding their characteristics and transformations through comprehensive examples and practice problems. Enhance your ability to interpret exponential graphs, understand transformations, and apply concepts to solve related mathematical problems.

Explore the practical applications of integration in calculus by focusing on calculating areas and volumes. Develop skills in solving integrals and applying these techniques to solve real-world problems, enhancing understanding of fundamental calculus concepts.

Explore the properties of logarithms to evaluate and simplify expressions using the change of base formula. Develop skills in rewriting logarithmic expressions and apply the product, quotient, and power properties to effectively solve mathematical problems.

Explore the core principles of integral calculus and its applications in physics. Understand integrals as both mathematical constructs and entities essential in physical contexts. Acquire skills in applying integration techniques to solve physics-related problems, enriching the grasp of mathematical theories and physical laws.

Explore solution techniques for differential equations by focusing on the application of Euler's identity to complex solutions. Enhance the ability to simplify complex exponential terms and apply them effectively to solve differential equations.

Explore the fundamental concept of inverse functions and applications in reversing original operations through analytical learning. Develop the ability to evaluate and analyze inverse function values, enhancing mathematical problem-solving skills and comprehension of function relationships.

Explore the fundamental principles of functions in algebra, focusing on key concepts such as domain, range, and function representation. Develop the ability to differentiate important aspects of functions and accurately represent them both algebraically and graphically.

Explore the arc cosine function, focusing on its properties and applications within trigonometry. Gain an understanding of inverse trigonometric functions, and develop problem-solving skills related to these concepts.

Explore the principles and strategies behind solving exponential equations using logarithmic methods. Gain proficiency in applying logarithms to enhance algebraic problem-solving skills.

An in-depth exploration of calculus concepts focusing on derivatives and the quotient rule enhances problem-solving skills in advanced mathematics. Learners will develop the ability to calculate derivatives for complex functions.

Master the advanced techniques of differentiating logarithmic and exponential functions by utilizing properties of natural and common logarithms. Develop expertise in solving intricate derivatives through the practical application of logarithmic properties and differentiation rules.

Examine the underlying principles of differentiating exponential functions through core calculus concepts such as the chain rule and handling functions with variable exponents. Enhance problem-solving skills by applying calculus techniques effectively across diverse scenarios.