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Evaluate Exponential Functions Interactive Videos
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Exponential Functions - Growth and Decay - Mathematical Properties
9th Grade - 12th Grade
Mathematics
Explore the essential principles of exponential functions with an emphasis on understanding growth and decay, along with their fundamental mathematical properties. Gain the ability to identify and evaluate exponential functions, while comprehending their practical applications in real-world contexts.
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Interactive Video
Understanding and Evaluating Logarithms - Exponential Equations using Change of Base
8th Grade - 12th Grade
Mathematics
Learn to evaluate logarithms and convert them into exponential equations with a focus on the change of base formula. Develop the ability to assess logarithms using common and natural logarithms, enhance problem-solving skills, and apply these concepts practically with the use of scientific calculators.
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Interactive Video
Exponential Functions - Writing and Graphing - Mathematical Decay Concepts
8th Grade - 12th Grade
Mathematics
Discover the process of writing exponential functions by using key points to determine initial values and calculate the base. Develop skills in graphing these functions and gain a thorough understanding of exponential decay. Enhance algebraic problem-solving abilities and conceptual understanding of mathematical relationships.
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Interactive Video
Derivative Fundamentals - Chain Rule Application - Calculus Concepts
11th Grade - University
Mathematics
Explore the process of finding derivatives using the chain rule, focusing on the combination of exponential and hyperbolic functions. Gain skills to differentiate composite functions and apply the chain rule effectively, reinforcing core competencies in calculus.
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Interactive Video
Understanding Exponential Functions - Y-Intercepts & Asymptotes - Algebra 1 Concepts
9th Grade - 12th Grade
Mathematics
Explore the properties of exponential functions, focusing on identifying Y-intercepts and asymptotes. Develop skills in understanding exponential relationships, calculating intercepts, and recognizing function behaviors as they approach infinity.
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9th Grade - 12th Grade
Exploring Logarithmic Equations - Change of Base Formula - Logarithmic and Exponential Functions
Interactive Video
Exploring Logarithmic Equations - Change of Base Formula - Logarithmic and Exponential Functions
9th Grade - 12th Grade
Mathematics
Explore logarithmic mathematics by focusing on solving equations with the change of base formula. Develop skills in evaluating logarithmic expressions, efficiently handling decimal exponents, and rounding results. Gain understanding and proficiency in these areas by practicing and applying key mathematical concepts.
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Interactive Video
Product Rule Application - Differentiation Methods - Calculus Concepts
11th Grade - University
Mathematics
Explore the application of the product rule in calculus through examples involving differentiable, power, rational, and exponential functions. Enhance the ability to differentiate complex functions and evaluate derivatives at specific points, solidifying understanding of calculus principles.
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Interactive Video
Understanding Existence and Uniqueness - Exponential Functions - Laplace Transforms
10th Grade - 12th Grade
Mathematics, Science
Explore the principles of exponential functions in the context of Laplace Transforms, focusing on the existence and uniqueness theorems. Enhance problem-solving skills and deepen understanding of advanced calculus concepts by verifying these theorems and applying them in mathematical contexts.
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Interactive Video
Exponential Models - Properties of Exponents - Investment Growth
9th Grade - 12th Grade
Mathematics, Business
Explore the comparison of exponential models in investment scenarios, with an emphasis on compounding interest and the application of exponent properties. Develop the skills to analyze different investment models, convert compounding rates, and utilize exponent properties to effectively interpret exponential expressions.
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Interactive Video
Evaluating and Graphing Exponential Functions
9th Grade - 12th Grade
Mathematics
Explore the process of evaluating and graphing exponential functions through detailed instructions on function evaluation and plotting. Develop skills in identifying ordered pairs, understanding the domain and range, and applying exponential growth concepts.
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Interactive Video
Derivative Skills - Exponential Functions - Calculus Concepts
10th Grade - 12th Grade
Mathematics
Examine the detailed differentiation of exponential functions, with a focus on the derivative of \( e^x \). Incorporate the application of the chain, product, and quotient rules. Develop proficiency in identifying derivatives, applying calculus rules, and solving real-world problems involving exponential functions.
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Interactive Video
Understanding Logarithmic Functions - Conversion Techniques - Mathematical Properties
9th Grade - 12th Grade
Mathematics
Explore logarithmic functions and their properties, focusing on the conversion between logarithmic and exponential forms. Gain the ability to evaluate logarithms, comprehend their characteristics, and apply various methods to solve mathematical problems related to logarithms.
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Interactive Video
Analyzing Exponential Functions - Growth Patterns - Mathematics
9th Grade - 12th Grade
Mathematics
Focuses on understanding exponential functions by highlighting growth patterns through constant factors and successive terms. Enhances learners' ability to identify exponential patterns and apply rules to evaluate data for exponentiality, thereby deepening conceptual understanding of mathematical functions.
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Interactive Video
Evaluating Exponential Functions - Understanding Exponential Growth - Mathematics
9th Grade - 12th Grade
Mathematics
Explore the characteristics and evaluation of exponential functions, emphasizing growth factors and base properties. Gain proficiency in identifying and assessing exponential functions and apply this knowledge to solve mathematical problems through enhanced analytical skills.
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Interactive Video
Logarithmic Differentiation - Exponential and Logarithmic Functions - Calculus Concepts
11th Grade - 12th Grade
Mathematics
Explore exponential and logarithmic functions with a focus on logarithmic differentiation. Gain the ability to apply calculus concepts such as derivatives, integrals, and the use of chain and product rules to solve mathematical problems effectively.
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Interactive Video
Understanding Logarithmic Functions - Properties & Applications
9th Grade - 12th Grade
Mathematics
Explore the world of logarithmic functions by examining their properties and practical applications. Gain the ability to rewrite and evaluate logarithms, understand their inherent characteristics, determine inverses, and solve logarithmic equations. These competencies are essential skills in advanced mathematics education.
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Interactive Video
Graphing Techniques - Inverses & Reflections - Exponential Functions
9th Grade - 12th Grade
Mathematics
Explore exponential functions and their inverses by focusing on graphing techniques, identifying inverse functions, and understanding reflections across the y-axis to deepen mathematical proficiency.
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Interactive Video
Modeling Exponential Functions - Applying to Bacterial Growth - Mathematical Concepts
9th Grade - 12th Grade
Mathematics, Biology, Science
Explore the concept of exponential growth through the study of bacterial culture growth, with a focus on mathematical modeling and time conversion. Gain an understanding of how to apply exponential functions, calculate population sizes, and enhance problem-solving skills in mathematical contexts.
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Interactive Video
Evaluating Limits - Exponential Functions - Limits at Infinity
10th Grade - 12th Grade
Mathematics
Study methods for evaluating limits at infinity, focusing on exponential functions. Emphasize simplification techniques and division methods to develop the ability to simplify complex expressions and comprehend the behavior of functions as they approach infinity or negative infinity.
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Interactive Video
Graphing Techniques - Exponential Function Characteristics - Algebra Concepts
10th Grade - 12th Grade
Mathematics, Science
Explore exponential functions with a focus on graphing techniques and transformations. Gain the ability to identify these functions, comprehend their graphical features, and examine how various transformations influence the graph's configuration.
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