Derivation and its properties and the application of derivation in finding the tangent equation

.السلام عليكم ورحمة الله وبركاته. .معلمة لاعطاء دروس خصوصي متواجدة في دبي تعليم الطالب وتأسيسه ومتابعة دروسه اليومية من ال وحتى الصف التاسع kg اعطاء الطالب الدرس بمرونة وهدوء تبعا لاستيعابه ومستواه العلمي . للاستفسار يرجى التواصل للمزيد من المعلومات

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This course aims to provide you with the knowledge and tools needed to better understand and master mathematics and physics. We offer personalized support to students of all specialties. Sessions can be tailored to your specific needs, whether you are alone or in a group. We adjust the sessions according to your level and expectations. Please do not hesitate to contact us if you have any questions.

Hi! Welcome! I am a Master's student at the University of Groningen in the Netherlands. I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 4+ years in Physics and Mathematics to high school and university-level students. This class aims to provide an overview of calculus and focuses on the fundamental mathematical tools and concepts such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to their applications. Note that this course will be tailored to your specific needs and we could mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach. Outline of the course: ----------------------------------------------------------------------------------------------------------------------------------------------- 1.1 Limits of functions 1.2 Evaluate the limits using L'hospital's rule (for 0/0, ∞/∞) 1.3 Continuity, types of discontinuities, intermediate value theorem ----------------------------------------------------------------------------------------------------------------------------------------------- 1.4 Introduction to differentiation (or derivative) 1.5 Tangent line to a curve, slope, instantaneous velocity 1.6 Rules and theorems for differentiation: power rule, product rule, chain rule 1.7 Derivatives of exp, log, and trigonometric functions 1.8 Implicit function and implicit differentiation 1.9 Derivative of inverse functions 1.10 Second and higher-order derivatives 1.11 Application of derivatives 1.12Geometrical interpretation of the derivative of a function 1.13 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function 1.14 First and second derivative tests, inflection points ----------------------------------------------------------------------------------------------------------------------------------------------- 1.15 Anti-derivative, indefinite integral 1.16 Techniques of integration: integration by substitution, integration by parts 1.17 Definite integral and its application (area between curves, application in physics) 1.18 Area as a definite integral 1.19 Areas between two curves and many more... *Note that the sessions will be held online (via Skype/Zoom/Microsoft Teams).

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