Introduction to differential calculus systematic studies with engineering applications for beginners10: Algebra of Derivatives: Rules for Computing Derivatives of Various Combinations of Differentiable Functions / 11a: Basic Trigonometric Limits & Their Applications in Computing Derivatives of Trigonometric Functions / 11b: Methods of Computing Limits of Trigonometric Functions / 12: Exponential Form(s) of a Positive Real Number & its Logarithm(s): Pre-Requisite for Understanding Exponential & Logarithmic Functions / 13a: Exponential & Logarithmic Functions & Their Derivatives / 13b: Methods for Computing Limits of Exponential & Logarithmic Functions / 14: Inverse Trigonometric Functions & Their Derivatives / 15a: Implicit Functions & Their Differentiation / 15b: Parametric Functions & Their Differentiation / 16 Differentials “dy” & “dx”: Meanings & Applications / 17: Derivatives & Differentials of Higher Order / 18: Applications of Derivatives in Studying Motion in a Straight Line / 19a: Increasing & Decreasing Functions & the Sign of the First Derivative / 19b: Maximum & Minimum Values of a Function / 20: Rolle’s Theorem & the Mean Value Theorem (MVT) / 21: Generalized Mean Value Theorem (Cauchy’s MVT), L’ Hospital’s Rule, & their Applications / 22: Extending the Mean Value Theorem to Taylor’s Formula: Taylor Polynomials for Certain Functions / 23 Hyperbolic Functions & Their Properties.