PREVIOUS ANSWERS DETAILS 6. [0/1 Points] Math 110 Course Resources - Derivatives Course Packet on computing derivatives using the limit definition Let f ( x ) = Vx. (a) Simplify (21 + h) - f(21) h Algebraically simplify your answer until you have cancelled out the factor of h in the denominator. (b) Evaluate lim (21 + h) - f(21) h - 0 h If an answer does not exist, enter DNE. X (c) Determine the equation of the line tangent to y = f(x) at x = 21. y = Submit Answer SEP 14 FI F2 20 F3 F4 F5 F6 F7 F8 LA o A 2 & 3 4 5 6 7 8 Q W E R T Y Uwebassign.net/web/Student/Assignment-Responses/last?dep= C -2 -1 Answer each of the following questions about f(x). You have one submission for each question. (a) Does lim f(x) exist? OYes ONo (b) Is f(x) continuous at x = 3? OYes ONO (c) Is f(x) differentiable at x = 3? OYes ONO (d) Does lim f(x) exist? x - 1 OYes ONo (e) Is f(x) continuous at x = 1? OYes ONO (f) Is f(x) differentiable at x = 1? OYes ONO SEP 14 FI F2 20 F3 F4 F5 F6 F7 2 % A 3 4 & 5 ON 7Answer each of the following questions about f(x). You have one submission for each question. (a) Does lim f(x) exist? x - 1 ' OYes ONo (b) Is f(x) continuous at x = 1? OYes ONO (c) Is f(x) differentiable at x = 1? OYes ONo (d) Does lim f(x) exist? OYes ONO (e) Is f(x) continuous at x = 2? OYes ONO (f) Is f(x) differentiable at x = 2? OYes ONO SEP 14 20 44 D1I F4 F5 F7 FI F2 F3 F6 @ LA % A N 3 4 5 6 CO Q W m R- 2 Answer each of the following questions about f(x). You have one submission for each question. (a) Does lim f(x) exist? x - 1 - OYes ONo (b) Does lim f(x) exist? X- 1+ OYes ONo (c) Does lim f(x) exist? OYes ONO (d) Is f(x) continuous at x = 1? OYes ONo (e) Is f(x) differentiable at x = 1? OYes ONO SEP 14 SC -6- go F7 FI F2 F3 F4 F5 F6 @ & 2 3 4 6 CO Q W mC A webassign.net/web/Student/Assignment-Responses/last?dep=29546044 -2 -1 Answer each of the following questions about f(x). You have one submission for each question. (a) Does lim f(x) exist? x - 0' OYes ONO (b) Is f(x) continuous at x = 0? OYes ONO (c) Is f(x) differentiable at x = 0? OYes ONo SEP O 14 .O F1 20 FZ F3 F4 F5 14 F6 F7 % N 3DETAILS 11. [-/1 Points] Determine whether each statement is true or false. You have one submission for each statement. (a) For every function f(x), if f(x) is continuous at x = a, then f(x) is also differentiable at x = a. OTrue OFalse (b) For every function f(x), if f(x) is differentiable at x = a, then f(x) is also continuous at x = a. OTrue OFalse Submit Assignment Save Assignment Progr SEP 14 SC 20 44 F F2 F3 DII F4 F5 F6 F7 @ # LA A K N 3 4 5 8 Q W m R Y U