![]() These examples are programmatically compiled from various online sources to illustrate current usage of the word 'differential calculus.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. 2018 To talk to Lysenko was like trying to explain differential calculus to a man who did not know his 12-times table. For example, velocity is the rate of change of distance with respect to time in a particular direction. Or you can consider it as a study of rates of change of quantities. ![]() Karen Zurawski, Houston Chronicle, 15 Feb. Differential calculus deals with the rate of change of one quantity with respect to another. 2014 Math covers general mathematics, geometry and an introduction to differential calculus. Kevin Fisher-Paulson, San Francisco Chronicle, The key is to personalize an individual’s education, even in preschool: If someone is a whiz at differential calculus but can’t discern between her pronouns and her prepositions, maybe moving her out of the 11th grade entirely isn’t the best move. ![]() These simple yet powerful ideas play a major role in all of calculus. Continuity requires that the behavior of a function around a point matches the functions value at that point. Mitchell Peters, Billboard, 1 July 2018 In 17 years of formal education, I had only ducked out of one class, that being differential calculus. Limits describe the behavior of a function as we approach a certain input value, regardless of the functions actual value there. 2019 His work - which included the development of differential calculus and integral calculus - helped lay the groundwork for the computer and smartphone technology used in today's society. 2021 Two thousand years after Zeno, the founders of differential calculus solved the riddle of instantaneous speed. 2022 The technology converts images of math problems from basic arithmetic to differential calculus into text and characters that computers can use to spit out answers. Army during World War II, six women were chosen to write a program for the computer to run differential calculus equations. The section concludes with the extended mean value theorem, which implies Taylor’s theorem.Recent Examples on the Web Out of approximately 100 human computers working for the U.S. SECTION 2.5 discusses the approximation of a function \(f\) by the Taylor polynomials of \(f\) and applies this result to locating local extrema of \(f\).SECTION 2.4 presents a comprehensive discussion of L’Hospital’s rule.Topics covered include the interchange of differentiation and arithmetic operations, the chain rule, one-sided derivatives, extreme values of a differentiable function, Rolle’s theorem, the intermediate value theorem for derivatives, and the mean value theorem and its consequences. ![]()
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