Can u please answer questions ( a, b , c, d )

Content X Bb 1038968 X Bb Derivative X Class Me X Oct28eve X PDE Bernard X M [Ext] 062 X E Cluster A X H04.pdf x + X https://learn-us-east-1-prod-fleet01-xythos.content.blackboardcdn.com/blackboard.learn.xythos.prod/585304bab... to G . . . 1 of 1 Q + 2 [ Page view | A Read aloud T) Add text | Draw Highlight V Erase 1. (11 points) Given the function y = 4x2 +9 (a) (2 points) Find the difference quotient as a function of r and A.r. (b) (2 points) Find the derivative function d. (c) (4 points) Check whether the function is differentiable at r = 3 and r = 4. (d) (3 points) If the function is differentiable at x = 3, 4, find f'(3) and f'(4). 2. (10 points) Consider the function f(r) = (x] (a) (2 points) Draw a graph of the function. (b) (3 points) Find the difference quotient as a function of r and Ar. (c) (3 points) Check whether the function is differentiable at r = 0. (d) (2 points) Check whether the function is continuous at I = 0. 3. (17 points) Using the difference quotient function, verify the following rules of differentiation. (a) (4 points) Power function rule (b) (6 points) Product Rule (c) (7 points) Quotient Rule 4. (49 points) Find the derivative of each of the following functions: (a) (4 points) 12 (b) (4 points) -4x4 (c) (6 points) ar? + br + c (d) (6 points) 23 - 5x2 + 12x + 7 (e) (6 points) (ar - b)(cr?) (f) (6 points) (2x + 3)(3z?) (g) (6 points) (2 - 3x) (1 + z)(x+ 2) (h) (5 points) on to (i) (6 points) (12 + 3)2-1 5. (12 points) Find dy when: (a) (6 points) y = 2" and z=1-x3 (b) (6 points) 10 y = (x2 + 41 + 5)7 6. (1 point) How much did you spend on working on this assignment? Please provide the best estimate. Type here to search W 46.F Mostly clear ~ ENG 7:22 PM 10/31/2021 723