Leibniz
Chapter 15A | p. 360Simple Rules of Differentiationright709300Differentiation – the process of finding a derivative or gradient function given f(x), we find f’(x) by differentiating with respect to the variable xChapter 15B | p. 354The Chain RuleComposition – combining functions f°gx=f(gx)154749522860000167132065532000790156267200LeibnizLagrange00LeibnizLagrangeg is the INNER FUNCTION, f is the OUTER FUNCTIONChapter 15C | p. 367left407035LagrangeLeibniz00LagrangeLeibniz77152550101500The Product RuleChapter 15D | p. 369The Quotient Ruleleft147955LagrangeLeibniz00LagrangeLeibnizright7048500Chapter 15E | p. 371Derivatives of Exponential Functions31718251397000The graphs of all members of the exponential family f(x) = bx have the following properties:Pass through (1,0)Asymptotic to the x-axis at one endLife above the x axis for all xleft11493500Chapter 15F | p. 375center49276000Derivative of the Natural Log FunctionChapter 15G | p. 381right516255Second and Higher DerivativesFunction – displacement First derivative – velocitySecond derivative – acceleration ................
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