Find the derivative of y= u^5/(1+u^3) from 8 to 8-7x

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SUMMARY

The discussion centers on finding the derivative of the function y = u^5/(1 + u^3) within the context of a definite integral from 8 to 8 - 7x. Participants highlight the importance of correctly interpreting the problem, emphasizing that the derivative must be taken of the definite integral rather than the function itself. Key issues identified include the omission of 'du' in the calculations and potential syntax errors in the input format, which could lead to incorrect results being flagged by software.

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Homework Statement
use the fundamental theorem of calculus to find the derivative of y= u^5/(1+u^3) from 8 to 8-7x
Relevant Equations
Fundamental Theorem of Calculus
Here is the problem
65888511578__2ECEF53B-8921-4029-BF9C-85F9AD331786.jpeg


Here is my work on it. I thought I did it correct, but again, was told it was wrong.
65888761139__84C90FF9-9408-48B0-82A4-76AC67717D59.JPG
 
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Your answer looks fine to me. My only quibbles are 1) you aren't finding the derivative of ##\frac{u^5}{1 + u^3}## -- the problem asks for the derivative of a specific definite integral of this function; 2) your work is very incomplete - you omitted du, and you don't show what operations you're doing.

If the brain-dead software is flagging your answer as incorrect, it's possible that what you entered isn't syntactically correct -- such as missing parentheses or maybe they were looking for the expanded forms of the numerator and denominator.

What exactly did you enter into the form?
 
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