A limit is normally expressed using the limit formula as, Limit helps in calculating the degree of closeness to any value or the approaching term. The derivative of a function, y with respect to variable x, is represented by dy/dx or f’(x). The process used to find the derivatives is called differentiation. The notations dy and dx are known as differentials. Differential helps in the study of the limit of a quotient, dealing with variables such as x and y, functions f(x), and the corresponding changes in the variables x and y. To find the optimal solution, derivatives are used to calculate the maxima and minima values of a function. Some of the important topics under Calculus 2 are,ĭifferential calculus focuses on solving the problem of finding the rate of change of a function with respect to the other variables. Some of the topics covered under calculus 1 are,Ĭalculus 2 focuses on the mathematical study of change first introduced during the curriculum of Calculus 1. Some important topics covered under precalculus are,Ĭalculus 1 covered the topics mainly focusing on differential calculus and the related concepts like limits and continuity. In precalculus, we focus on the study of advanced mathematical concepts including functions and quantitative reasoning. Precalculus in mathematics is a course that includes trigonometry and algebra designed to prepare students for the study of calculus.

Based on the complexity of the concepts covered under calculus, we classify the topics under different categories as listed below,

Solutions for calculus problems