Topics of Differential Calculus May 16, 2021 by promath The following topics of Differential Calculus will be covered. Please click on the link provided below you wish to read. Table of Contents Toggle Derivative: Definition, Properties, and Formulas Proofs of Derivative Formulas (by definition) Some Interesting Problems & Solutions of Derivatives: Derivative: Definition, Properties, and Formulas Proofs of Derivative Formulas (by definition) Some Interesting Problems & Solutions of Derivatives: 1. Derivative implies continuity but the converse is not true 2. Mod x is continuous at x=0 but not differentiable at x=0 3. Derivative of tan x by product, quotient and chain rule 4. Derivative of root x + 1/root(x) 5. Derivative of root sin x 6. Derivative of root cos x 7. Derivative of 1 by root(1-x^2) 8. Derivative of root(x^2+y^2) 9. Derivative of log 3x 10. Derivative of e^2x Spread the love