Mathematics
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OpenStudy (anonymous):
f(d)= (d^4-d+1)1/3 derivative function, please help to answer this. show me the proper wat to solve to easy to understand!
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OpenStudy (perl):
interesting problem :)
OpenStudy (anonymous):
@perl can you help sir?
OpenStudy (anonymous):
@ganeshie8 sir can you help me?
OpenStudy (perl):
if i understood the problem i could help :)
OpenStudy (anonymous):
please help me. :((
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OpenStudy (anonymous):
You are given the derivative, or you want to find the derivative?
OpenStudy (anonymous):
find sir
OpenStudy (anonymous):
@wio sir please help me
OpenStudy (anonymous):
This?\[
f(d)= (d^4-d+1)^{1/3}
\]
OpenStudy (anonymous):
yes sir
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OpenStudy (anonymous):
Do you know the chain rule?
OpenStudy (anonymous):
no sir
OpenStudy (anonymous):
can you show me the proper way to solve?
OpenStudy (anonymous):
Hmm, to be honest, I'm not sure how to do this without using the chain rule.
OpenStudy (anonymous):
Are you sure they did not teach the chian rule?
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OpenStudy (anonymous):
no my prof teach how to solve thabuy im absent always because of my nightshiht callcenter parttime
OpenStudy (anonymous):
so i dont know how to solve that?
:'(
OpenStudy (anonymous):
@strawberryswing help
OpenStudy (anonymous):
@sammixboo help
OpenStudy (anonymous):
@Zale101 help
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OpenStudy (anonymous):
Okay, what rules do you know?
OpenStudy (anonymous):
Ahhhhhh math
OpenStudy (anonymous):
Run!
OpenStudy (anonymous):
|dw:1418713961670:dw|
OpenStudy (anonymous):
|dw:1418714018106:dw| @wio
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OpenStudy (anonymous):
Okay, now consider that: \[
f(d) \times f(d)\times f(d) =d^4-d+1
\]
OpenStudy (anonymous):
You can differentiate both sides, using the product rule and power rules.
OpenStudy (anonymous):
So \[
3(f'(d)\times f(d)\times f(d)) = 4d^3-1
\]Does this make sense?
OpenStudy (anonymous):
yes sir
OpenStudy (anonymous):
Now we plug in \(f(d) = (d^4-d+1)^{1/3}\)
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OpenStudy (anonymous):
So \[
f'(d) \cdot 3(d^4-d+1)^{2/3} = 4d^3-1
\]
OpenStudy (anonymous):
Does this make sense?
OpenStudy (anonymous):
so sir what is the final answr
OpenStudy (anonymous):
Can you solve for \(f'(d)\)? That is what we originally wanted.
OpenStudy (anonymous):
i dont knw how to solve that sir
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OpenStudy (anonymous):
sir?
OpenStudy (anonymous):
It's algebra... divide the part that isn't \(f'(d)\).
OpenStudy (anonymous):
@wio 0?