Calculus Questions, Answers and Solutions
Calculus Concepts Questions
- Questions and Answers on Functions. A set of questions on the concepts of a function, in calculus, are presented along with their answers and solutions.
- Properties of the Graphs of Functions. Questions designed to help you gain deep understanding of the properties of the graphs of functions which are of major importance in calculus.
- Optimization Problems for Calculus 1 with detailed solutions.
- Calculus 1 Practice Question with detailed solutions.
- Antiderivatives in Calculus. Questions on the concepts and properties of antiderivatives in calculus are presented.
- Fundamental Theorems of Calculus. Questions on the two fundamental theorems of calculus are presented.
- Questions and Answers on Derivatives in Calculus. A set of questions on the concepts of the derivative of a function in calculus are presented with their answers and solutions.
- Computation and Properties of the Derivative in Calculus. Questions on the computation and properties of the derivative of a function in calculus are presented. These questions have been designed to help you gain deep understanding of the properties of the first derivative. Answers to the questions are also presented.
- Applications of Derivatives. Questions and answers on the applications of the first derivative are presented. These questions have been designed to help you understand the applications of derivatives in calculus.
- Critical Numbers of Functions. Questions on the critical numbers of functions are presented. The present questions have been designed to help you better understand the concept of a critical number of a function as defined in calculus. Answers to these questions are also presented.
- Questions and Answers on Limits in Calculus. A set of questions on the concepts of the limit of a function in calculus are presented along with their answers.
- Questions and Answers on Continuity of Functions. Questions on the concepts of continuity and continuous functions in calculus are presented along with their answers.
Calculus Analytical Questions
- Questions on Inverse Functions with Solutions. Questions on inverse functions are presented along with detailed solutions and explanations.
- Express a Function as the Sum of an Even and an Odd Functions. Show that any function f may be expressed as the sum of an even and an odd functions.
- Derivative of Even and Odd Functions. Questions, with answers, explanations and proofs, on derivatives of even and odd functions are presented.
- Calculus Questions with Answers (1). The uses of the first and second derivative to determine the intervals of increase and decrease of a function, the maximum and minimum points, the interval(s) of concavity and points of inflections are discussed.
- Calculus Questions with Answers (2). The behaviors and properties of functions, first derivatives and second derivatives are studied graphically.discussed.
- Calculus Questions with Answers (3). Approximate graphically the first derivative of a function from its graph. Questions are presented along with solutions.
- Calculus Questions with Answers (4). Calculus questions, on differentiable functions, with detailed solutions are presented. We first present two important theorems on differentiable functions that are used to discuss the solutions to the questions.
- Calculus Questions with Answers (5). Calculus questions, on tangent lines, are presented along with detailed solutions.
- Questions with Answers on the Second Fundamental Theorem of Calculus. Questions with detailed solutions on the second theorem of calculus are presented.
- Questions on Functions (with Solutions). Several questions on functions are presented and their detailed solutions discussed.
- Questions on Composite Functions with Solutions. Questions on composite functions are presented along with their detailed solutions.
- Questions on Concavity and Inflection Points. Questions with detailed solutions on concavity and inflection point of graphs of functions.
- Derivatives in Calculus: Questions with Solutions. Questions on derivatives of functions are presented and their detailed solutions discussed.