ENGL 203 Lecture Notes - Lecture 3: Ap Calculus, Civic Holiday
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Due : monday, september 25 2017 11:59 pm edt: /1 points. Find the derivative of the function by the limit process. f(x) = x2 + x 5 f "(x) = Solution or explanation f(x) = x2 + x 5. X f(x + x) f(x) (x + x)2 + (x + x) 5 (x2 + x 5) X x2 + 2x( x) + ( x)2 + x + x 5 x2 x + 5. 2x( x) + ( x)2 + x (2x + x + 1) = 2x + 1. X 0 lim lim f "(x) : /1 points. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 2x y + 3 = 0 y = Using the limit definition of derivative, you have. 4x = 2 x = 0. 5. f "(x) = 4x. Because the slope of the given line is 2,
