Calculus 1 covered the topics mainly focusing ondifferential calculusand the related concepts like limits and continuity. Some of the topics covered under calculus 1 are, Limits Derivatives Applications of Derivatives Integrals Calculus 2 Calculus 2 focuses on the mathematical study of change first intro...
1.Limits(极限): The concept of a limit is fundamental in calculus. It describes how a function(函数) behaves near a particular point, or as the inputs go to infinity. 2.Continuity(连续性): A function is continuous if it does not have any holes or jumps, i.e., you can draw it wi...
Understand continuity and discontinuity Analyze characteristics of functions and asymptotes Make connections between algebraic and geometric concepts Students will have a firm grasp of these concepts and be able to apply them to their current coursework or be ready to continue their mathematical studies wi...
The Precise Definition of a Limit. Continuity Limits at Infinity;Horizontal Asymptotes Derivatives and Rates of Change. The Derivative as a Function 3Differentiation Rules Derivatives of Polynomials and Exponential Functions The Product and Quotient Rules ...
Basic Calculus Problems Lesson Summary Frequently Asked Questions What are some basic formulas common in calculus? Some basic formulas in differential calculus are the power rule for derivatives: (x^n)' = nx^(n-1), the product rule for derivatives: (f(x)*g(x))' = f'(x)g(x) + f...
Practice more questions on calculus class 11 and calculus class 12 topics such as limits and derivatives, integration using different methods, continuity etc. To learn more about calculus in Maths, register with BYJU’S – The Learning App today....
area between two curves problems go through the practice problems given below to understand more about the method of finding the area of between two curves. find the area bounded by two curves x 2 = 6y and x 2 + y 2 = 16. find the area of the region enclosed between the two circles...
Differentiability & Continuity L'Hopital's Rule Maxima & Minima Curve Sketching Differentials & Linear Approximations Newton's Method Optimization Problems - Part 1 Optimization Problems - Part 2 Velocity & Acceleration Logarithmic Differentiation
Practice by Topic Expand All Unit 1: Limits and Continuity(114)0 Unit 2: Differentiation: Definition and Fundamental Properties(100)0 Unit 3: Differentiation: Composite, Implicit, and Inverse Functions(103)0 Unit 4: Contextual Applications of Differentiation(143)0 ...
This allowed her to recognize that students might need to see several examples illustrating limits and continuity, and then connect those back to what this problem was asking. 4.2.3. Responding by questioning: student-centered & student-thinking driven When instructors responded in a way that was...