MATH 102 Lecture : Math 102 Chapter 10 Chain Rule- Exponential Rule
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= f-191 1) - gill ) h( / = p 191 11 ex is the outside function: cx) inside function. [e"91 11 = q ex . differentiate hlx) =p 2+3 +1 h / (x) =p (2 +3) E is the base rate of growth shared. In (1) = 0 * always ex . = 109 baste of e whenever base becomes e. In only has base e- is a number is the what. I hee = 1 the = i always power gives ex . e. in = each other. Pull out power to the front ex . 3: eins = #v8 = 8 g- . puny = p71ny~= #nets, 3. 7 . zine : the = 2x. Natural exponential function can be expressed as y=e or y= expcx) fix/ = ex slope of tangent to the curve at any point = height of curve at that point. Range : all real numbers } fix> = thx.
