Timeline for Help with an application of Leibnitz's Rule
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2020 at 13:25 | comment | added | whuber♦ | Use the Fundamental Theorem of Calculus. | |
| Oct 14, 2020 at 13:17 | vote | accept | AJV | ||
| Oct 14, 2020 at 13:12 | history | edited | AJV | CC BY-SA 4.0 |
deleted 57 characters in body
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| Oct 14, 2020 at 3:46 | answer | added | Dilip Sarwate | timeline score: 3 | |
| Oct 13, 2020 at 23:06 | comment | added | AJV | I don't see how just knowing the definition of the derivative can solve this if I don't evaluate the integrand first, but when I try to integrate over $[0, \sqrt{y}]$ or $[-\sqrt{y}, 0]$, I just hit the erf (or something that looks like it) with no clean solution. And I'm still not sure why the professor said "Leibnitz's rule" is a hint. | |
| Oct 13, 2020 at 22:14 | comment | added | whuber♦ | This one is easy to do with a direct application of the definition of derivative. Alternatively, write the integral as the sum of integrals over $[0,\sqrt{y}]$ and $[-\sqrt{y},0]$ and apply the sum rule. To see that the derivative will not be zero, draw a graph of the function $F.$ This is no "trick question:" it's a basic calculation we all encounter from time to time and need to understand due to the two-to-one mapping involved. | |
| Oct 13, 2020 at 19:16 | history | asked | AJV | CC BY-SA 4.0 |