anonymous
  • anonymous
Need a little help--Instantaneous velocity: (derivatives) s=8t(squared)-10t+6; t=5. any help?,Thanks
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Just use the sum rule. The derivative of a sum is the sum of the derivatives of each term.
myininaya
  • myininaya
s'=2*8t-10 s'(5)=16(5)-10
anonymous
  • anonymous
so s=156?

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anonymous
  • anonymous
No, s'(5) = 156
myininaya
  • myininaya
s'(5)=80-10=70 did i miss something?
anonymous
  • anonymous
yeah, it's 70
anonymous
  • anonymous
I didn't check his arithmetic. In anycase, this is the trouble with just solving people's problems myininaya. They don't understand what you did, so they don't understand the answer, or how to do it again next time.
anonymous
  • anonymous
can you take it step by step for me ? now I am missing something , Thanks
myininaya
  • myininaya
do you know how to find the derivative?
anonymous
  • anonymous
yes
myininaya
  • myininaya
what is s' = then?
anonymous
  • anonymous
Prime
myininaya
  • myininaya
what is s'=______________?
anonymous
  • anonymous
oh - i got 156
myininaya
  • myininaya
the derivative of 8t^2 is? the derivative of 10t is? the derivative of constant is?
myininaya
  • myininaya
no clown i'm asking what is s' not what s' at some number is
anonymous
  • anonymous
16t,10,0
myininaya
  • myininaya
so s'=16t+10+0=16t+10
myininaya
  • myininaya
oops s'=16t-10 i forgot the minus in the problem
myininaya
  • myininaya
so what is s' at t=5
anonymous
  • anonymous
Man your rough! but you make me think! ---- Thanks
myininaya
  • myininaya
i'm rough lol
myininaya
  • myininaya
do you get 70 now?
anonymous
  • anonymous
Hold on Im old!
anonymous
  • anonymous
yes, Thank you , Wow ! LOL
myininaya
  • myininaya
you really got it? ok what's the instanteous velocity of s=t^4-6^2+3 at t=3
anonymous
  • anonymous
Oh and by the way I am a real clown, A Shriner Clown
myininaya
  • myininaya
s=t^4-6t^2+3
myininaya
  • myininaya
cool. lol
anonymous
  • anonymous
s=45?
myininaya
  • myininaya
what is s' ?
anonymous
  • anonymous
um, ok im lost ! Help!!
myininaya
  • myininaya
we want to find the instanteous velocity of s=t^4-6t^2+3 at t=3 finding velocity means we need to find the derivative of s s' denotes the derivative first let's break this up what is the derivative of t^4? what is the derivative of -6t^2? what is the derivative of 3?
anonymous
  • anonymous
3t,12t,0
anonymous
  • anonymous
-12t oops
myininaya
  • myininaya
derivative of t^4 is 4*t^3 i used the power rule everything else you got right so 2/3 is passing
anonymous
  • anonymous
you funny and yes you are right about the first answer , you are making me think faster than normal! and making me nervous! I do not want to come off to you as a complete rock!
myininaya
  • myininaya
i'm sorry
myininaya
  • myininaya
lol take as much time as you need
anonymous
  • anonymous
ok, Thanks! Just wish sometimes I was better at this stuff, like you- I love smart math people!
myininaya
  • myininaya
clowns are cool too
myininaya
  • myininaya
let's put all the terms of s' together so s'=?
anonymous
  • anonymous
ok, hold, please
myininaya
  • myininaya
k
anonymous
  • anonymous
s=96
myininaya
  • myininaya
i don't think thats right and like polak said before its s'(3)=96 tell me what s' is first
myininaya
  • myininaya
s'(t)=
anonymous
  • anonymous
4(3)^3-12+3 Right?
myininaya
  • myininaya
s'(3)=4(3)^3-12(3)
myininaya
  • myininaya
remember we said the derivative of t^4 is 4t^3 the derivative of -6t^2 is -12t the derivative of 3 is 0
anonymous
  • anonymous
OK!!!!! 3 is prime right?
myininaya
  • myininaya
yes 3 is prime since 3 is a constant, its slope is zero, and since its slope is zero then the derivative of 3 is zero
anonymous
  • anonymous
we had a- 6t in the original problem? sorry my Bad yes we did, SO SORRY!
anonymous
  • anonymous
Hold on
anonymous
  • anonymous
s= 144+ 3?
anonymous
  • anonymous
or just 144?
amistre64
  • amistre64
ok...so whats our question?
myininaya
  • myininaya
s=t^4-6t^2+3 find velocity at t=3 i think hes getting mixed up on where things go
amistre64
  • amistre64
so clown; you say you can find a derivative; right?
anonymous
  • anonymous
I thought so, guess not
amistre64
  • amistre64
go ahead and give it a shot, i wanna see what you are doing
amistre64
  • amistre64
what is the derivative of: t^4 -6^t +3 ??
anonymous
  • anonymous
Here is my problem..... s=8t^2 -10t +6; t=5
amistre64
  • amistre64
ok....lets work with 8t^2 -10t +6; what do you think the derivative should look like?
anonymous
  • anonymous
16t- 10 + 6
amistre64
  • amistre64
very close; the first and second terms are good; that last terms should be a 0 tho. do you know why?
anonymous
  • anonymous
because there is no constant?
amistre64
  • amistre64
does 6 = 6 t^0 ? and if so; how would you derive: 6 t^0?
anonymous
  • anonymous
Yes , due to the fact of the power 0
amistre64
  • amistre64
good; then lets rewrite this in terms you can see :) 8t^2 -10t +6t^0; now derive that for me...
anonymous
  • anonymous
16t-10+6
amistre64
  • amistre64
16t is good; -10 is excellent. but 6 is wrong, you didnt derive it the same way you did the others ...why not? derive 6t^0. in exactly the same way as you did the others. what do we get?
anonymous
  • anonymous
0
amistre64
  • amistre64
that is correct:) so would you agree that our derivative is then: 16t-10 ?
anonymous
  • anonymous
Yes
amistre64
  • amistre64
ds -- = 16t-10 very good; now when t=5, what does this equal? dt
anonymous
  • anonymous
70!! I got it and you did not leave me at the train depot!!! YEA!!!!!
amistre64
  • amistre64
yay!!! :)
anonymous
  • anonymous
Thaank you very much!!!
amistre64
  • amistre64
youre welcome :)
anonymous
  • anonymous
Talk to ya soon maybe

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