MAT135H1 Lecture Notes - Lecture 2: Quotient Rule, Power Rule, Product Rule

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Mat135 - lecture 2 - exponentials and logarithms. Read sections 1. 1 -1. 5, appendix d from the textbook. Exponential functions follow the form f ( ) = b where the base b . For b > 0, , , recall. B needs to be greater than zero since there is a restriction on b for negative exponents b - For negative exponents, do the opposite of positive exponents. Instead of multiplying by that number of factors, you will need to divide by that number of factors. 0 because it is undefined if a number is. When the same base is being multiplied , add the exponents. When the same base is being divided , subtract the exponents. When the base is being powered exponentially , multiply the exponents. Properties of exponential functions, f ( ) = b : domain of f : { : _ < < }; ( _ , )

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