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Math 1A
·
Module 5
Techniques of Differentiation
1
Differentiating Polynomials: Power, Constant Multiple, Sum, and Difference Rules
Apply the power, constant multiple, sum, and difference rules to differentiate polynomial functions.
2
Product and Quotient Rules for Differentiation
Apply the Product and Quotient Rules to differentiate combinations of functions.
3
Derivatives of Basic Trigonometric Functions
Differentiate basic trigonometric functions (sine, cosine, tangent, etc.).
4
Derivatives of $e^x$ and $\ln x$
Differentiate the natural exponential function (e^x) and the natural logarithmic function (ln x).
5
Chain Rule for Composite Functions
Apply the Chain Rule to differentiate composite functions.
6
Implicit Differentiation
Use implicit differentiation to find the derivative of a relation.
Previous module
Introduction to Derivatives
Next module
Analyzing Functions with Derivatives