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Mathematics 17 Online
OpenStudy (jackthegreatest):

Sigh no questions today? Anyone want to help with calc : D

OpenStudy (otherworldly):

give me a question and lets c if the random stuff i learned over the years helped

OpenStudy (jackthegreatest):

lol find the derivative of y= (2x-7)^3

OpenStudy (otherworldly):

no idea so what does derivative mean XD

OpenStudy (jackthegreatest):

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OpenStudy (jackthegreatest):

lol when no one can answer it so i answer it myself

OpenStudy (otherworldly):

XD

OpenStudy (jackthegreatest):

wish i could give myself a medal

OpenStudy (mww):

You are required to use the chain rule, of function of a function rule here. Remember the power rule is \[y = x^n \rightarrow \frac{ dy }{ dx } = nx^{n-1}\] Similarly if instead of x, you have f(x) raised to a power: \[y = [f(x)]^n \rightarrow \frac{ dy }{ dx } = n [f(x)]^{n-1} \times f'(x)\] So treat like your normal power rule but make sure you multiply the result by the derivative of the base i.e. (2x-7) This extra multiplication step by f'(x) is part of the chain rule/FOF rule

OpenStudy (jackthegreatest):

aint that complicated mww thanks for helpin though haha

OpenStudy (jackthegreatest):

i guess im just bored, posting questions then answering it myself

OpenStudy (otherworldly):

ikr now I'm scared of passing i don't want to do calculus maybe i should just fail XD

OpenStudy (mww):

calculus is not too tricky (at least elementary calculus covered in Calc I and II) if you get the principles and the rules (and they are a finite bunch)

OpenStudy (jackthegreatest):

nah @OtherWorldly aint hard

OpenStudy (jackthegreatest):

all it is...a lot of formulas thats it

OpenStudy (otherworldly):

Wow that makes me feel SO MUCH BETTER

OpenStudy (jackthegreatest):

lol

OpenStudy (mww):

the formulas are actually shortcuts to more rigorous first principles so in a way we have it easy.

OpenStudy (otherworldly):

Idk why but even if u guys say its easy I'm always going to think its hard NO MATTER WHAT calculus is a mind killer to me

OpenStudy (jackthegreatest):

well if you wanna catch up to me... take calc next year :D :D :D

OpenStudy (jackthegreatest):

i took trig honors freshman year

OpenStudy (otherworldly):

no way XD dude ur too smart

OpenStudy (jackthegreatest):

thanks, wow theres a lot of bored people

OpenStudy (otherworldly):

lol yup

OpenStudy (jackthegreatest):

when openstudy turns to a chat room

OpenStudy (otherworldly):

barely anyone is on on weekends

OpenStudy (jackthegreatest):

hey yall in the audience, anyone want to try a calc problem? ill post one up if anyones bored

OpenStudy (jackthegreatest):

i can try teaching people calc :D

OpenStudy (otherworldly):

yeah for a price XD

OpenStudy (jackthegreatest):

ok here goes g(x) = 3 (4-x)^4

OpenStudy (jackthegreatest):

find the derivative using the chain rule

OpenStudy (otherworldly):

yeah about that i don't really understand the chain rule sooooooo

OpenStudy (jackthegreatest):

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OpenStudy (jackthegreatest):

@OtherWorldly see a pattern with the exponents?

OpenStudy (otherworldly):

maybe..........yeah ok i don't

OpenStudy (jackthegreatest):

when you derive, you subtract one from the exponent

OpenStudy (jackthegreatest):

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OpenStudy (jackthegreatest):

the ' means "prime", which is the first derivative

OpenStudy (otherworldly):

yeah i can't do this i can't get it if i don't understand the rule I'm just gonna stick with Algebra

OpenStudy (jackthegreatest):

haha

OpenStudy (otherworldly):

pretty sure u tried ur best teaching me GOOD JOB TEACH sorry i don't got money on me can't pay the price of u tutoring me XD freebie?

OpenStudy (jackthegreatest):

haha sure, ill charge you 500 medals though

OpenStudy (otherworldly):

XD i got all my life to pay u back but can i make installments XD

OpenStudy (jackthegreatest):

haha

OpenStudy (otherworldly):

until next time byyyyyyyye

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Join our real-time social learning platform and learn together with your friends!