Titlebook: Calculus I; Jerrold Marsden,Alan Weinstein Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 Fundamental theorem of calculus.

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Derivatives and Limits,e sun in the sky, and the price of cheese all change with time. Altitude can change with position along a road; the pressure inside a balloon changes with temperature. To measure the rate of change in all these situations, we introduce in this chapter the operation of differentiation.

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Amendment

Exponentials and Logarithms, we will study powers as functions of a variable exponent, i.e., . = .: To do this, we must first . when . is not a rational number. This we do in Section 6.1; the rest of the chapter is devoted to the differential and integral calculus of the exponential functions . = . and their inverses, the loga

geometrician

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Exponentials and Logarithms,tion 6.1; the rest of the chapter is devoted to the differential and integral calculus of the exponential functions . = . and their inverses, the logarithms. The special value . = . = 2.7182818285... leads to especially simple formulas.

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Dysarthria