Functions (New Functions from Old –Composition of Functions – Families of Functions) –Trigonometric Functions -Inverse Functions – Inverse Trigonometric Functions–Exponential and Logarithmic Functions - Limits at Infinity; End Behavior of a Function–Tangent Lines and rate of change, The Derivative Function, Techniques of Differentiation, The product and quotient rules Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation– Derivatives of Logarithmic, Exponential and Inverse trigonometric Functions–Hyperbolic / Inverse Hyperbolic Functions and their Derivatives–Indeterminate Forms and L’Hopital’s Rule: Partial Differentiation–Taylor’s and Maclaurin’s expansions–Curve sketching: Critical, maximum, minimum and inflection points–Conic sections: Parabola.
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Sherman K.Stein, Anthony Barcellos, Calculus & Analytic Geometry, McGraw-Hill Higher Education
| content serial | Description |
|---|---|
| 1 | Basic rules of differentiation |
| 2 | Trigonometric function and their derivatives |
| 3 | Inverse of trigonometric and their derivatives |
| 4 | Logarithmic function and their derivatives |
| 5 | Exponential function and their derivatives |
| 6 | Derivatives of hyperbolic functions and their inverse |
| 7 | Parametric differentiation, Implicit differentiation |
| 8 | L’Hopital rule |
| 9 | Partial Differentiation |
| 10 | Taylor’s and Maclaurin’s expansions |
| 11 | Physical application |
| 12 | Curve sketching (Critical, maximum, minimum and inflection points) |
| 13 | Curve sketching (rational functions) |
| 14 | Conic sections |
| 15 | Review |
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