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find the 10th derivative of the function

hmm why are u posting q in installments

|dw:1433233107942:dw|

10th derivative kills all the terms having exponent 9 and below

so forget about all the terms except first
|dw:1433233262560:dw|

i will just derive the x10?

since you're doing calculus, it is time to use proper notation
use ^ for exponent

x10 doesn't look mathematical
x^10 looks better

ow im sorry ok

x^10 i mean

yes just find the 10th derivative of that

if you're careful, its not so hard to find a pattern for \(n\)th derivative of \(x^n\)

how sir?

i just do the long method is the answer 3628800? is that correct?

Yep! just notice 3628800 = 10*9*8*7*6*5*4*3*2*1 = 10!

wow. wait i will answer your question the derivative of 1000

Awesome! what is it

my calculator says math error

lmao

1000! this is the answer right?

do you mean \[\large \frac{d^{1000}}{dx^{1000}}(x^{1000}) = 1000!\]

yes yes

am i right?

Looks good! thats not exactly same as the question i have asked but ok

but u asked that earlier haha

|dw:1433234272561:dw| is this equation true to all functions sir?

can i use this everytime the question asks find the nth derivative?

sorry thats a confusing notation... very wrong acttually, my mistake

Here it is :
If \(\large f(x) = x^n\), then the \(n\)th derivative is \(\large n!\)

|dw:1433234595866:dw|

so everytime i encounter this kind of question,, i will only leave x^10? just the first term?

If you're formula oriented, then yes just do that

ooooh i understand now

thanks again sir :-)

this website is a great help for me :-)

ok sir :-)