Tom's paintings are really quite derivative.
汤姆的画实在没有创意。
Eric's just insisting that we cannot understand writing to be derivative.
埃里克只是想说明我们不能将书写理解成为衍生物。
The derivative of a function represents the rate at which that function is changing.
函数的导数表示该函数变化的速度。
In calculus, taking the derivative of a polynomial often simplifies it.
在微积分中，对多项式求导通常会使其简化。
Understanding the concept of
derivatives is crucial for studying differential equations.
理解导数的概念对于学习微分方程至关重要。
The derivative of f(x) = x^2 at x = 3 is f'(3) = 6.
函数f(x) = x^2在x = 3处的导数是f'(3) = 6。
Differentiation, the process of finding a derivative, is a fundamental operation in calculus.
求导，即找到一个函数的导数的过程，是微积分中的一个基本运算。
If the derivative of a function is positive, the function is increasing.
如果一个函数的导数为正，则该函数是增函数。
To find the slope of a tangent line to a curve, you need to compute the derivative of the curve's equation at the point of tangency.
要找到曲线的切线斜率，你需要计算曲线方程在切点处的导数。
Newton's method, used for finding roots of functions, involves repeatedly applying
derivatives to approximate the solution.
牛顿法，用于求解函数的根，涉及反复应用导数来近似解。
The second derivative of a function tells us about the concavity of the graph and the rate of change of the first derivative.
函数的二阶导数告诉我们图形的凹凸性以及一阶导数的变化率。
In physics, the derivative of position with respect to time gives the velocity of an object.
在物理学中，位置关于时间的导数给出了物体的速度。
"AI, and its many derivatives, are already being deployed across the majority (over 90 percent) of our group," said Bollore.
Bollore说：“人工智能及其许多衍生物已经在我们团队的大多数（超过90%）中部署。”。
Business profile and potential spillover risks in the case of Evergrande are very different from those in Western countries, she said, adding that the company has few derivative financial products and its total liabilities account for a low percentage of China's overall bank loans.
她说，恒大的业务状况和潜在的溢出风险与西方国家非常不同，并补充说，该公司几乎没有衍生金融产品，其总负债在中国银行贷款总额中所占比例很低。
Shandong Yulong is currently in the process of completing the construction of a refining and petrochemicals complex that is designed to process around 400,000 barrels per day (bpd) of crude oil and produce a large volume of petrochemicals and derivatives.
山东玉龙目前正在完成一个炼油和石化综合体的建设，该综合体旨在处理约40万桶/日的原油，并生产大量石化产品和衍生物。
The petrochemical complex includes a 1.2 mtpa cracker, a new 500ktpa high-density polyethylene plant to produce INEOS pipe grade under license and 11 other derivative units.
该石化综合设施包括一个120万吨/年裂解器、一个新的50万吨/年高密度聚乙烯装置和11个其他衍生装置，该装置可在许可证下生产INEOS管道级产品。
This year, the local tourism bureau will support industrial players to develop new tourism derivative products and strengthen interactions with related sectors.
今年，当地旅游局将支持行业参与者开发新的旅游衍生产品，并加强与相关部门的互动。
Since its foundation in 2015, CUSC has always focused on the Internet of Vehicles and has developed three major business segments: Internet of vehicles connectivity, IoV operation, and innovative applications for the evolving demand of IoT and derivative business.
自2015年成立以来，CUSC一直专注于车联网，并发展了三大业务板块：车联网连接、IoV运营和创新应用，以满足物联网和衍生业务不断发展的需求。
In addition, China will keep enriching the types of financial derivatives and reduce panda bond issuers' exposure to foreign exchange risks.
此外，中国将不断丰富金融衍生品的种类，减少熊猫债券发行人的外汇风险敞口。
"Clariant will also expand existing production capacity for its Ethylene Oxide Derivatives (EODs) and a broader chemical portfolio at Daya Bay.
“科莱恩还将扩大其环氧乙烷衍生物（EOD）的现有产能，并在大亚湾扩大更广泛的化工产品组合。
Chicago-based Options Clearing Corp, the world's largest equity derivatives clearing, said on Friday Didi's trading symbol changed from "DIDI" to "DIDIY" on the OTC market, effective at the opening of business on Monday.
总部位于芝加哥的期权清算公司是世界上最大的股票衍生品清算公司，该公司周五表示，滴滴在场外交易市场的交易符号从“Didi”改为“DIDIY”，自周一开业起生效。
Under this agreement, the two parties will conduct research and innovation in carbon finance products and derivatives, such as carbon emission rights mortgage and pledge financing, carbon trading, carbon bonds and carbon funds through a diverse range of cooperation, it said.
根据这份协议，双方将通过多种形式的合作，在碳金融产品和衍生品方面进行研究与创新，如碳排放权的抵押和质押融资、碳交易、碳债券和碳基金等。
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