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.
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 (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.