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anonymous
 one year ago
how to solve this in the shortest way?
finding the 10th derivative
anonymous
 one year ago
how to solve this in the shortest way? finding the 10th derivative

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0find the 10th derivative of the function

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5hmm why are u posting q in installments

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433233107942:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.510th derivative kills all the terms having exponent 9 and below

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5so forget about all the terms except first dw:1433233262560:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i will just derive the x10?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5since you're doing calculus, it is time to use proper notation use ^ for exponent

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5x10 doesn't look mathematical x^10 looks better

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5yes just find the 10th derivative of that

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5if you're careful, its not so hard to find a pattern for \(n\)th derivative of \(x^n\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5\(\large \frac{d}{dx}(x^n) = nx^{n1}\) \(\large \frac{d^2}{dx^2}(x^n) = n(n1)x^{n2}\) based on that pattern, can you guess \(\large \frac{d^{1000}}{dx^{1000}}(x^n)\) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i just do the long method is the answer 3628800? is that correct?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5Yep! just notice 3628800 = 10*9*8*7*6*5*4*3*2*1 = 10!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wow. wait i will answer your question the derivative of 1000

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my calculator says math error

anonymous
 one year ago
Best ResponseYou've already chosen the best response.01000! this is the answer right?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5do you mean \[\large \frac{d^{1000}}{dx^{1000}}(x^{1000}) = 1000!\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5Looks good! thats not exactly same as the question i have asked but ok

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but u asked that earlier haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433234272561:dw is this equation true to all functions sir?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can i use this everytime the question asks find the nth derivative?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5sorry thats a confusing notation... very wrong acttually, my mistake

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5Here it is : If \(\large f(x) = x^n\), then the \(n\)th derivative is \(\large n!\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5If \(\large f(x) = x^k\), then the \(k\)th derivative is \(\large k!\) btw \(k,n\) are posiitve integers

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433234595866:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so everytime i encounter this kind of question,, i will only leave x^10? just the first term?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5If you're formula oriented, then yes just do that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ooooh i understand now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks again sir :)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5np :) maybe work it the long way once to see why all those terms with lesser exponents don't matter for 10th derivative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i have here many questions because i am now in my final year of engineering. that's why. so i must answer all these questions. so that i can graduate. thanks a lot sir.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this website is a great help for me :)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.5ikr there is never enough time to do all the things! feel free to tag me in your future questions.. good luck!
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