The Power Rule for Derivatives
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do 1/3√t
JenGutierrez28 21 hours ago
dude you solve my homework one of the problems there was my actually homework lol.. thanks man this helps a lot to clear my mind..
dyonnegalata 3 weeks ago
@BlueTheRaichu No problem!
lol5748 3 months ago
@lol5748 Thank you. That helped. ^_^
BlueTheRaichu 3 months ago
@BlueTheRaichu Well, as it is written at 2:50, it is 3(x^1/2) because you take the exponent of "x" and multiply by the coefficient of "x" when you use power rule. For example: If you plug in 4 for x into the function f(x) = 3x^1/2 as it is written at 2:50, you take the square root of 4 (which is 2) then multiply by 3. So, it would come out to be f(x) = 3 (2) = 6. To answer your original question, 3(x^1/2) is not equal to (3x)^1/2
lol5748 3 months ago
@lol5748 I infer that when you wrote it at 2:50 , that it would be (3x)^1/2, in other words, the square root of "3x." Now that I think about it... perhaps that is what it is. When you mentioned involving parentheses, I now realize what it could actually be equivalent to. 3x could be inferred as a group, which altogether is taken the root of by "2." So, to notify you that what you assume is what I had implied, I shall respond by saying: I actually implied to take the square root of "3x."
BlueTheRaichu 3 months ago
@BlueTheRaichu It depends whether you are talking about (3x)^1/2 or 3(x^1/2). (3x)^1/2 = the square root of "3x", but 3(x^1/2) = 3 times the square root of x. The way you wrote it, i would assume that you meant "3 times the square root of x" I assume this simply because you didn't put parenthesis around the "3x", so you probably meant take the square root of x, then multiply that quantity by 3. Let me know if that's what you meant!
lol5748 4 months ago
Is 3x^1/2 equivalent to the square root of 3x, or 3 times the square root of x?
BlueTheRaichu 4 months ago
Nice Dude Keep it up ur better then my teacher my teacher is garbage
CheckMe52 4 months ago
I love this! Thanks
It's going to help me on my test tomorrow on derivatives :D
AsianKiddo012 9 months ago 2