Mathematics 1225A/B : Unit1.pdf

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Exponential and logarithmic functions (text reference: sections 5. 1 and 5. 2 mixed together custom text pgs. We start the course with a review of exponential and logarithmic functions, and their properties. Then in the next unit we will, in the context of these kinds of functions, review what you learned in. Introductory calculus the various di erentiation rules as well as using calculus for graphing and also the concepts of implicit and logarithmic di erentiation. The function f (x) = bx, with b > 0 and b 6= 1, is called the exponential function with base b. That is, every positive number other than 1 is the base of an exponential function, and the variable in the function is the exponent, i. e. the power to which the base is raised. Recall that the domain of a function f (x) is the set of all x-values for which that function is de ned.

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