\\ {E WeBWorK:121F2'l-Papador X 1 all m: u ll ._ l~ln webwork.math.drexel.edu :9} , U *- =J B 5 Apps r Bookmarks > YouTube f Facebook ' Gmail v Maps 2; News 5] Translate Bb v): LabZSAnswerShe... E] Reading List Problem 3 User Settings Previous Problem Next Problem Grades 3 -oints ' Part 1: The derivative at a specific point [:1 Use the definition of the derviative to compute the derivative of f (x) = 1 9):2 at the specic point x = 2. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). Problem 1 l t 2 + h 2 . Problem 2 v f'(2) = 11m f( ) ) = 11111 .gh.35 = -36 h Problem 4 ' Part 3: The tangent line Now let's calculate the tangent line to the function f(x) = 1 9x2 at x = 4. a. By using f' (x) from part 2, the slope of the tangent line to f at x = 4 is f'(4) = 72 b. The tangent line to f at x = 4 passes through the point (4, f (4)) = (4,-143) on the graph of f. (Enter a point in the form (2, 3) including the parentheses.) c. An equation for the tangent line to f at x = 4 is y = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 37 times. Your overall recorded score is 86%. v~.. it-..\" \"mama\"; \"use\"- \"mam..- l-l: MOM l'mlzwi 6 C Apps r Bookmarks , User Settings Grades Problem 1 J Problem 2 l Problem 3 Problem 5 Problem 6 I Yo uTu be \\ {E WeBWorK:121F2'l-Papadot X 1 all m: u ll ._ l~ln webwork.malh.drexel.edu f Facebook ' Gmail v Maps 2; News 5] Translate Bb v): LabZSAnswerShe... Previous Problem Problem List Next Problem (3 points) ' Part 1: The derivative at a specific point Use the definition of the derviative to compute the derivative of f (x) = x/x + I at the specic point x = 2. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). f'(2) = lim (W) = 134 1/(sqrt(h+6)+sqrt(6)) > = 1/(2sqrtl h>O Hint: use the conjugate trick. ' Part 2: The derivative function Use the definition of the derivative to compute the derivative of the function f (x) = Ix + I at an arbitrary point x. Evaluate the limit by using algebra to simplify the difference quotient (in rst answer box) and then evaluating the limit (in the second answer box). f'(x) = lim (W) = 1116