Differential Calculus: Maxima, Minima, and Core Concepts

Unlock the power of differential calculus to analyze change and optimize functions. This course provides a clear, foundational understanding of essential calculus concepts. By the end of this program, you will be able to confidently apply differential calculus principles to determine maximum and minimum values of functions, understand function behavior, and solve related analytical problems. What you'll learn: * Understand the core principles and definitions of differential calculus. * Apply differentiation rules to find derivatives of various functions. * Determine local and global maxima and minima of functions using calculus. * Utilize Rolle's Theorem and Lagrange's Mean Value Theorem to analyze function properties. * Practice solving diverse problems in optimization and function analysis. * Develop a solid analytical foundation for further study in mathematics and science. This text-based course guides you from basic definitions and differentiation rules through the application of key theorems like Rolle's and Lagrange's, culminating in practical problem-solving for maxima and minima. This course is designed for absolute beginners with no prior experience in differential calculus. All concepts are explained clearly from the ground up. Begin your journey into the fascinating world of calculus today.