Certificate in Calculus Differentiation for Professionals
-- ViewingNowThe Certificate in Calculus Differentiation for Professionals is a comprehensive course designed to enhance your mathematical skills, focusing on differentiation. This program emphasizes the importance of calculus in various professional fields, such as engineering, physics, and technology, making it highly relevant in today's data-driven world.
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⢠Limits and Continuity: Concept of limits, one-sided limits, infinity and negative infinity, limit laws, continuity, and the Intermediate Value Theorem.
⢠Differentiation Rules: Power rule, product rule, quotient rule, chain rule, and implicit differentiation.
⢠Derivative Applications: Tangent lines, higher-order derivatives, maxima and minima, concavity, and inflection points.
⢠Related Rates: General approach, applications, and example problems involving distance, work, and related rates.
⢠Optimization Problems: Identifying and setting up constrained and unconstrained optimization problems, and applying derivative tests to solve them.
⢠Curve Sketching: Analyzing the graph of a function using limits, continuity, differentiability, critical points, and asymptotes.
⢠Exponential and Logarithmic Differentiation: Differentiation of exponential and logarithmic functions, and their applications.
⢠Inverse Trigonometric Differentiation: Differentiation of inverse trigonometric functions and their applications.
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