Partial Dervative of a Integral

  • Context: Undergrad 
  • Thread starter Thread starter Victor8108
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    Integral Partial
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Discussion Overview

The discussion revolves around the problem of finding the partial derivative of a function defined by an integral, specifically df/dx for the function f(x,y) given as the integral of sqrt(1-t^3) dt from x^2 to x^3. The scope includes mathematical reasoning and homework-related inquiries.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant questions whether to treat t as a constant when differentiating with respect to x.
  • Another participant points out that the definition of f(x,y) does not include the variable y, suggesting a need for clarification.

Areas of Agreement / Disagreement

Participants have not reached a consensus, and multiple points of clarification are raised without resolving the initial question.

Contextual Notes

The discussion highlights potential ambiguities in the function definition and the treatment of variables during differentiation.

Victor8108
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Hi all, I'm trying to figure out the following problem:

Find df/dx, f(x,y)=integral of sqrt(1-t^3)dt from x^2 to x^3.

Since it is asking to find the derivative with respect to x,should I regard t as a constant?
 
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Figured I should probably post this in the homework section. Sorry about that.
 
Your definition of f(x,y) has no y. Clarify.
 
Victor8108 said:
Figured I should probably post this in the homework section. Sorry about that.

Indeed.
 

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