The discussion revolves around finding the Maclaurin series for the function tan(e^x - 1), specifically focusing on determining the correct coefficient for the x^4 term. Participants are examining their calculations and the application of differentiation rules.
Some participants have identified potential errors in their differentiation processes, particularly regarding the number of terms derived from the product rule. There is ongoing exploration of these issues, with some guidance provided on the need for additional terms in their derivatives.
Participants express uncertainty about their calculations and seek clarification on specific steps in the differentiation process. There is an emphasis on ensuring all necessary components of the product rule are included in their work.
delsoo said:Homework Statement
for this, my coefficient of x^4 which is 8/4! = 1/3 .. but the ans should be 13/24... can you tell me which part contain mistake?
https://i.imgur.com/05NnrdM.jpg
https://i.imgur.com/28Q9o51.jpg
Homework Equations
The Attempt at a Solution
delsoo said:i redo the question, now my coeffiecient of x becomes only 11 but not 13, now which part is wrong?
https://www.flickr.com/photos/123101228@N03/13809331763/
delsoo said:sorry i really can't find it, i have 2 [ ... ] for d3y/dx3 , and i have 4 [...] for d4y/dx4 , can you be more specifiec telling me which part is wrong? thanks!
Dick said:That's the problem. Yes, you should have four [...]'s for d4y/dx4. In the image you sent, you don't have four. You have three. You are missing one.