anonymous
  • anonymous
Help me find the derivative of this function
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\huge A(t)= 20\sin^2(\frac{ t }{ 1000\pi })\]
bahrom7893
  • bahrom7893
Use power + chain rules
bahrom7893
  • bahrom7893
This is a very straightforward question.

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More answers

anonymous
  • anonymous
|dw:1371609626141:dw|
anonymous
  • anonymous
like that?
bahrom7893
  • bahrom7893
you forgot the final chain rule
primeralph
  • primeralph
|dw:1371609898205:dw|
anonymous
  • anonymous
@bahrom7893 what do you mean?
bahrom7893
  • bahrom7893
|dw:1371610057029:dw|
primeralph
  • primeralph
|dw:1371610058623:dw|
anonymous
  • anonymous
@bahrom7893 wait i dont get it tho, why the extra fraction :S
bahrom7893
  • bahrom7893
derivative of |dw:1371610223598:dw|
bahrom7893
  • bahrom7893
|dw:1371610328327:dw|
anonymous
  • anonymous
|dw:1371610801029:dw| @bahrom7893
bahrom7893
  • bahrom7893
Noooo
anonymous
  • anonymous
|dw:1371610749100:dw|
bahrom7893
  • bahrom7893
Guys stop confusing him. Burhan, your first answer was right. You just forgot to add in that fraction.
anonymous
  • anonymous
How do i simplify further ?
bahrom7893
  • bahrom7893
just use algebra, cancel out some fractions.
anonymous
  • anonymous
howww im really confused !!
anonymous
  • anonymous
The answer key says it should be \[\huge A'(t) = \frac{ 1 }{ 50\pi }\sin (\frac{ t }{ 50\pi })\]
anonymous
  • anonymous
@bahrom7893
bahrom7893
  • bahrom7893
2Sin(x)Cos(x) = ? (double angle formula)
anonymous
  • anonymous
if i just simplify that fraction to 'x' then =20((2sinx)(cosx)(x)) =20(xsinx)
primeralph
  • primeralph
.just use what I gave if you're still confused....
bahrom7893
  • bahrom7893
|dw:1371612098284:dw|
bahrom7893
  • bahrom7893
so according to our calculations, the answer should be: |dw:1371612290008:dw| which seemed right. the book might have a typo
primeralph
  • primeralph
........which is what I said 40 minutes ago........ |dw:1371612421231:dw|
bahrom7893
  • bahrom7893
lol
anonymous
  • anonymous
thanks both !@bahrom7893 @primeralph
primeralph
  • primeralph
You're very welcome.
bahrom7893
  • bahrom7893
np my friend :)
anonymous
  • anonymous
b) What is the first value of t greater than 0 for which the derivative is equal to 0?
anonymous
  • anonymous
@primeralph
bahrom7893
  • bahrom7893
set the derivative equal to 0, then check the signs nearby
anonymous
  • anonymous
@primeralph what does that mean ^ ?
primeralph
  • primeralph
for it to equal zero, you have to shift t by the period pi
primeralph
  • primeralph
|dw:1371615489438:dw|

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