Challenging integrals and derivatives to try

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    Derivatives Integrals
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Discussion Overview

The thread discusses challenging integrals and derivatives for participants to try, focusing on functions involving trigonometric, logarithmic, and exponential expressions. The scope includes calculus practice and exploration of mathematical reasoning.

Discussion Character

  • Exploratory, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents three mathematical functions for others to evaluate, indicating they will provide answers later.
  • Another participant suggests that the derivatives of the first two functions are tedious but manageable, while the integral in the third function is more complex.
  • A third participant expresses that the tasks are relatively easy and beneficial for those new to calculus.
  • In contrast, another participant finds the tasks to be difficult.

Areas of Agreement / Disagreement

Participants express differing opinions on the difficulty of the tasks, with some finding them easy and others considering them hard. No consensus on the overall challenge level exists.

Contextual Notes

Participants do not specify any assumptions or limitations regarding the functions presented, nor do they clarify the context of their difficulty assessments.

Who May Find This Useful

Individuals interested in calculus practice, particularly those looking to challenge their understanding of integrals and derivatives.

ascheras
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here's some to try (i'll have answers either on thursday or tuesday):

f(x)= sin(x^(x^1/2) + (pi*log x)), x>0
f(x)= log(log(log(x^2 + 16))), x>0
f(x)= integral (from 0 to x) of exp((x-y)^1/2) dx
 
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One presumes you want the derivatives of the first two (not hard just tedious) and to do the integral in the third (shame, if you wanted the derivative that was quite easy).
 
Yeah, quiet easy :)
They are good practive if you're new to calculus.
 
It seems to be hard
 
Last edited:

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