Question
For each of the following examples, identify the derivative being evaluated in the given limit. f(x) f(a) x - a The form for the
For each of the following examples, identify the derivative being evaluated in the given limit. f(x) f(a) x - a The form for the limit definition is either f(a) = lim x- a OR fla + h) - f(a) f'(a) = lim !! h-0 ex - e3 {for example, lim X+3 is the limit that represents the rate of change f(3), where f(x) = ex { f(3), where f(x) = e^x } For each of the following, identify the function f(x) whose derivative is being taken and the value of x=a for the location of the tangent line. 4(2+h)+1 3 a) lim h h+0 { lim_{h -> 0} [ (sqrt(4(2+h) + 1) - 3)/ (h)] cos 2x - 1/2 x - T/6 b) lim X- t/6
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Authors: Steve Albrecht, Chad Albrecht, Conan Albrecht, Mark zimbelma
4th edition
538470844, 978-0538470841
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