Differential Calculus
Differential Calculus: Overview
Differential Calculus covers chapters such as Differentiation, Relations and Functions, Application of Derivatives, Mean Value Theorems, Indeterminate Forms of Limits and, Continuity and Differentiability of Functions
Practice Other Chapters from Differential Calculus
This chapter defines the terms relations and functions. It discusses various methods for representing relations. We will learn how to find the domain and range of a relation with the aid of examples.
This chapter discusses continuity and the derivatives of trigonometric functions, composite functions, and inverse trigonometric functions. It also explains second-order derivatives, Rolle’s theorem and Lagrange’s mean value theorem.
This chapter covers topics like basic formulas and differentiation of composite functions- chain rule, differentiation of different type of functions, derivatives of implicit functions, and derivative of parametric functions.
This chapter describes different types of indeterminate forms such as subtraction of ∞ from ∞ and multiplication of 0 and ∞. It also explains the L’Hopital’s rule via solved examples.
This chapter covers topics such as Points of Inflection, Turning Points or Stationary Points or Maxima and Minima Points, Maximum and Minimum Values in Closed Intervals, Maximum and Minimum Values, Monotonicity of Functions, etc.
This chapter covers topics such as Rolle's Theorem and Lagrange's Mean Value Theorem.
