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Introduction To Derivatives Resources
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11th Grade - University
Understanding and Applying Theorems through the Study of Derivatives - AP Calculus AB Review
Interactive Video
Understanding and Applying Theorems through the Study of Derivatives - AP Calculus AB Review
11th Grade - University
Mathematics, Science, Education
Explore core calculus concepts by mastering the understanding and application of essential theorems through derivatives, function estimation, and Riemann sum integration. Develop proficiency in estimating derivatives and function values, solving related rates, and applying the Mean and Intermediate Value Theorems effectively.
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Interactive Video
Implicit Differentiation - Related Rates - Calculus Concepts
11th Grade - University
Mathematics, Physics, Science
Investigate implicit differentiation and related rates through practical examples, such as the classic ladder problem, to deepen your calculus comprehension. Enhance your ability to apply the Pythagorean theorem in various real-world contexts and develop expertise in differentiating multivariable functions accurately.
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Flashcard
Differential Calculus - Analysis and Numerical Methods
12th Grade - University
Mathematics
Focus on understanding key concepts in differential calculus, with an emphasis on differentials and Euler's Method for solving ordinary differential equations. Develop skills in calculating changes in functions and approximating solutions, enhancing mathematical analysis abilities and the application of these techniques to real-world scenarios.
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Interactive Video
Understanding Partial Derivatives - Gradient of a Function in Multivariable Calculus
11th Grade - University
Mathematics
Understand the principles of partial derivatives and their application in multivariable calculus. Gain skills in utilizing the gradient for analyzing functions and calculating changes, crucial for solving real-world problems through the lens of calculus.
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Lesson
Relations and Functions - Module 4 Review - Linear and Non-linear Functions
9th Grade - University
Mathematics
Explores key concepts of relations and functions with a focus on evaluating function notation and grasping linear functions. Enhances ability to distinguish between relations and functions, evaluate function notations, and graph linear functions effectively.
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Quiz
Slope Calculations - Average Rate of Change - Algebra
9th Grade - University
Mathematics
Learners will develop proficiency in understanding and calculating the slope as the average rate of change within algebraic contexts. The focus will be on determining the slope from different representations and using it to solve problems related to linear relationships.
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Quiz
Identify Rate of Change - Functions - Mathematics
8th Grade - University
Mathematics
Explore the concept of rate of change through various mathematical functions and practical real-world scenarios. Enhance the ability to calculate rate of change, interpret graphs and tables, and develop critical thinking skills for solving problem sets effectively.
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Interactive Video
Understanding and Applying the Power Rule - Introduction to Differentiation - Calculus Fundamentals
11th Grade - University
Mathematics
Explore differentiation by understanding derivatives and effectively applying the power rule. Learners will define derivatives, calculate simple derivatives, and apply the power rule to polynomial functions, enhancing their mathematical skills and comprehension.
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Lesson
Index Numbers - Consumer Price Index (CPI) Applications - Economic Indicators
University
Mathematics
Explore a range of concepts related to the Consumer Price Index (CPI) and economic indicators through engaging activities. Learners will deepen their understanding of inflation calculation, housing price index usage, and cost analysis, fostering analytical skills pertinent to real-world economic scenarios.
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Interactive Video
Understanding Integration - The Relationship Between Area and Slope - Essence of Calculus
11th Grade - University
Mathematics
Explore the connection between integrals and derivatives and how integration is used to determine the average of continuous variables with real-world context. Gain a solid understanding of calculating integrals, apply these concepts to solve problems related to the sine function, and understand the inverse relationship between key concepts in calculus.
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Quiz
Rate of Change - Average Rate of Change - Mathematics Functions
9th Grade - University
Mathematics
Engage with the mathematical concept of average rate of change by analyzing a variety of graphical and algebraic applications. Develop the ability to identify, calculate, and compare rates of change, enhancing skills in analyzing functional relationships and predicting outcomes.
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Interactive Video
Understanding Derivatives - Paradox of Instantaneous Change - Essence of Calculus
11th Grade - University
Mathematics
Explore the intriguing paradox of instantaneous change in calculus through the essential concept of derivatives. Gain insights into mathematical derivation, graphing motion, and applying calculus to real-world scenarios, enhancing conceptual understanding and problem-solving skills.
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Flashcard
Calculus Skills - Differentiation Techniques - Derivatives
11th Grade - University
Mathematics
Focus on techniques and principles for differentiating functions, including rules of derivatives and implicit differentiation. Cover applications involving trigonometric, exponential, and polynomial functions. Achieve proficiency in differentiating complex expressions, understanding the second derivative's significance, and solving calculus problems efficiently.
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Interactive Video
Understanding Calculus - Paradox of Instantaneous Change - Essence of Derivatives
11th Grade - University
Mathematics
Explore fundamental concepts of derivatives, focusing on the paradox of instantaneous rate of change with practical examples in motion and calculus derivation. Gain insight into calculus applications, enhance graphical interpretation skills, and comprehend the complexities of rate changes in mathematical scenarios.
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Flashcard
Chain Rule - Advanced Derivatives - Calculus
11th Grade - University
Mathematics
Explore the concept of derivatives with an emphasis on the chain rule in calculus, emphasizing various differentiation techniques and practical applications. Gain a comprehensive understanding of calculating derivatives for composite functions, essential for addressing complex mathematical problems and real-world scenarios.
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Quiz
Analyzing Steepness - Reorder Questions - Rates of Change
8th Grade - University
Mathematics
Analyze how different mathematical functions change by evaluating the steepness and comparing slopes. Develop skills to order rates of change from most to least steep, match equations to their corresponding graphs, and effectively compare slopes. Enhance the understanding of algebraic functions through these engaging and analytical exercises.
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Quiz
Average Rate of Change - Calculating Average Rate of Change from a Table - Mathematics
9th Grade - University
Mathematics
Develop analytical skills by exploring the concept of average rate of change through practical mathematics exercises focused on data interpretation from tables. Gain proficiency in calculating rate changes effectively.
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Comprehension
Quadratic Equation Skills - Problem-solving Techniques - Algebra
University
Mathematics
Develop skills in algebra through quadratic equations by focusing on identifying terms and converting equations into standard form. Gain proficiency in manipulating quadratic equations and apply various techniques to solve them effectively.
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Comprehension
Addition and Subtraction - Practical Applications - Arithmetic Exercises
5th Grade - University
Mathematics
Engage in exercises that focus on applying addition and subtraction in practical scenarios, such as calculating total costs and determining differences between quantities. These exercises enhance arithmetic skills and develop the ability to solve real-world math problems effectively.
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Quiz
Functions - Rate of Change & Slope - Linear Functions
8th Grade - University
Mathematics
Explore linear functions by focusing on understanding the rate of change and slope. Enhance the ability to analyze and compare linear functions through identifying key elements such as the initial value and slope. Strengthen mathematical proficiency and application skills.
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