WH3_M1151_SU23.pdf X + C production-gradescope-uploads.s3-us-west-2.amazonaws.com/uploads/pdf_attachment/file/109893793/WH3_M1151_SU23.pdf?X-Amz-Algorithm=AWS4-HMAC-SHA256&... ( H Men Custom Suits... O BLEASEME. O BERHER18 20... b Big Dude USA - Bi... 50 DOKV a Amazon.com: OA... a DXL Twenty-Eight... a Amazon.com: DXL a Amazon.com: ZHILI a Amazon.com: Car.. E WH3_M1151_SU23.pdf 4 /5 100% We have done the hard work of breaking up the function into pieces, and finding the derivatives of each piece. Now we will put these pieces back together in the right order to find the derivative of the original function. We'll do this in a few steps. c) (4 points) Using our new variables, we have: 8 ( x ) = eatb -c-d Take the derivative of this equation to find an expression for g'(x). Write your answer in the space provided below. Your answer here should only include the variables a, a', b, b', c, c', d and d'. 8'( x ) = d) (3 points) In Part b you found formulas for a', b', c', and d'. We also know that eatb-c-d = g(x). Substitute those formulas into your answer in Part c to find a formula for g'(x) using only the variables g(x), u, u', v, v', w, w', 2 and x. Your answer here should not include any of the variables a, a , b, b', c, c', d, or d', or the constant e. 8' ( x ) = 3 e) (3 points) Our final step is rewiting the variables g(x), u, u', v, v', w, w', z and z' in terms of the single variable x. Using your answer from Part d, substitute each copy of u, u', v, v, w, and w in terms of only the variable x using the formulas you found in Part a. You should also substitute out g(x) for our original function. Your answer for this part should only contain the variable x. Your answer will be very long. You may want to neatly use two lines to write the full expression.WH3_M1151_SU23.pdf X + C production-gradescope-uploads.s3-us-west-2.amazonaws.com/uploads/pdf_attachment/file/109893793/WH3_M1151_SU23.pdf?X-Amz-Algorithm=AWS4-HMAC-SHA256&... BO H Men Custom Suits... OBHEASEME.. O :21218 20... b Big Dude USA - Bi... 30 DOKV a Amazon.com: OA... a DXL Twenty-Eight... a Amazon.com: DXL a Amazon.com: ZHILI a Amazon.com: Car... E WH3_M1151_SU23.pdf 4 /5 100% 8 ( x ) = d) (3 points) In Part b you found formulas for a', b', c', and d'. We also know that eatb-c-d = g(x). Substitute those formulas into your answer in Part c to find a formula for g'(x) using only the variables g(x), u, u', v. v', w, w', and x. Your answer here should not include any of the variables a, a', b, b', c, c', d, or d', or the constant e. 2 8' ( x ) = e) (3 points) Our final step is rewiting the variables g(x), u, u', v, v', w, w', z and z' in terms of the single variable x. Using your answer from Part d, substitute each copy of u, u', v, v', w, and w' in terms of only the variable x using the formulas you found in Part a. You should also substitute out g(x) for our original function. Your answer for this part should only contain the variable x. Your answer will be very long. You may want to neatly use two lines to write the full expression. 3 8' ( x ) = (continued)WH3_M1151_SU23.pdf X + C production-gradescope-uploads.s3-us-west-2.amazonaws.com/uploads/pdf_attachment/file/109893793/WH3_M1151_SU23.pdf?X-Amz-Algorithm=AWS4-HMAC-SHA256&... ( BO H Men Custom Suits... OBHBAGELS.. O BERHER($ 20... b Big Dude USA - Bi... 50 DOKV a Amazon.com: OA... a DXL Twenty-Eight... a Amazon.com: DXL a Amazon.com: ZHILI a Amazon.com: Car... E WH3_M1151_SU23.pdf 5 / 5 100% 1151, Summer 2023 Written Homework 3 Page 5 of 5 Problem 2: Unguided Derivative Calculation (22 points) Use the process described in Problem 1 to evaluate the derivative: d (1+ x2 ) vx . (1 + sec -1(x)) " dx Vex - 2x 2 Make sure you show your work, and do not simplify your answer. To receive credit, you must use the same break-down method as we used in Problem 1. We want you to practice breaking down complicated functions. 3