Maclaurin Series & Higher Derivatives

[@divitsingh6521]

Great video- this really helps :). However, can we do the same thing with other functions like e^x cos x and not just functions in which a basic polynomial such as x^2 is multiplied with cos x?

[@slcmathpc]

You asked a very good question; there you go! drive.google.com/file/d/1hmizY_Tc10Bpez5gYQ_TZ0mfOt3eo4Tb/view?usp=sharing

[@divitsingh6521]

@@slcmathpc Thank you so very much!

[@99pedropotter]

been looking all over youtube for videos about this subject, this is the best i seen, hands down.

[@victoriaciesielska3775]

Thank you so much, you saved my life, I cried myself to sleep trying to solve a similar problem on my assignment yesterday!

[@fidget5437]

Ten/ten video, helps out a ton! Props for putting in the work to make this video's explanation perfectly comprehensible.

[@maxwellpineiro]

My guy... my guy my guy my guy! It's been the longest day ever and this video is so crystal clear and so explanatory. I seriously cannot thank you enough. I had been struggling with this for hourrrrrrs. I love you man- subbed.

[@Emma-ki3fv]

This is the first time I understood this thank you, it’s been 2 months since my professor taught it.

[@spongeluver4480]

you just saved my life, thank you mother

[@dvaVivy]

You just saved my life. Thank you dude. I didn't know you could do some fancy trick in the sigma notation like these

[@slcmathpc]

It is a truly beautiful reversal indeed! In the beginning, we used higher derivatives to find power series representations of functions, but now, we obtained a power series representation for a function in a slick and indirect way and then use it to find higher derivatives of the original function at x=0.

[@bilgekyran9902]

you saved my 18 points.

[@nicholastanzillo4229]

I was searching for a while for this type of problem and solution, thank you!!!

[@slcmathpc]

:-)

[@gtweak7]

This video is excellent. Thank you for your time and effort.

[@slcmathpc]

I really appreciate you letting me know that my work helped you out; thank you!

[@XxXKiiKoXxX]

Very well explained! Exactly what I was looking for!

[@seandafny]

Thanks bro. It hurts me i had to look this up.

[@seandafny]

Still didnt work wtf 9th derivative of arctan(x^3/4) i got -3/(4^3) but they saying its not right n i kno in my heart it is but math aint about emotions. but i kno in my heart...

[@seandafny]

+Sean Dafny 9th derivative at x=0

[@janitgjay3157]

@@seandafny bruh looks like ur going through a lot, play minecraft

[@seandafny]

Damn 2 years wow so proud

[@seandafny]

Janitg Jay lol yea i was. Where were u when i needed u most lol. Anyways stay up keep pushing like i tried to.

[@Mariam-ro5xw]

You're a life saver! Thank you!!

[@computersciencestudent1129]

thank you so much was struggling with a similar problem for an hour and you made it so easy

[@slcmathpc]

:-)

[@leomaicelo7198]

Thanks man you explained it very clearly !

[@thomato981]

Thanks a lot. This makes a lot more sense now.

[@useranonymous9274]

I found this to be so profound, like the heavens hath split and shone a ray of truth.

[@slcmathpc]

:-)

[@pablomartinjimenez3194]

This is just fantastic!

[@ashkansnake]

You can call the first n , k or something to not end up with two n's with different values

[@mariuszwiesiolek5777]

What is the significance of 20th derivative of the function? In Taylor series I've noticed that they serve to better approximate the functions itself but what else?

[@natheiraliibrahimhasan4201]

Thank you .. really thank you I have a calculus exam after 5 hours . And finally i understand this Thank you ❤

[@slcmathpc]

It is such a beautiful idea. Glad you could appreciate it!

[@m-meier]

thank you sir! could you please do a video of following problem: "find power series representation of x^(0.6) at a=4 and its "INTERVAL OF CONVERGENCE" I have no idea how to get the interval of convergence of this specific problem. Good day!

[@arianafshari9621]

Watched this 1 hour before my math final. Got the same question worth 4 points

[@slcmathpc]

:-)

[@ohsopaid1614]

absolute goat

[@slcmathpc]

Haha thanks!

Thank you so much, I got that.

[@vigashow.7413]

Thanks a lot bro!

[@MosesKondjara]

Amazing

[@Charliemangomunger]

IF you still make videos, could you make a video about 8.6.5 b) f(x)=ln(1+2x^2 )-2x^2+2x^4 for alle x≠0 Find the maclaurin sequence to f(x),and use it to calculate f^((4) ) (0).f(0)=8/3

[@steiner6085]

Thanks a lot!

[@Anvika926]

Sir Can you explain xsquare tanx

[@slcmathpc]

Finding a closed form for the Maclaurin series of tan(x) is far from trivial.

[@annabellet5229]

saved my life!!

[@mikeanthony6237]

Thank you good sir

[@sumairayasmeen1512]

Taylor series method by higher ordar defferential equestion on methemtica

[@sumairayasmeen1512]

i need 1 question related to this mathod

[@alm958]

thanks

[@花生拌饭]

Thx!

[@ohsopaid1614]

youre the man

[@slcmathpc]

:-)

[@rocketboy513]

wow ur lowkey a fuckin beast

[@rocketboy513]

i legit love him

[@jasminefitzsimons896]

ANGEL ANGEL ANGEL

[@slcmathpc]

:-)

[@saranghae7518]

lowkey still confused u went too fast

[@taufikahmad7724]

Ka aay ya be kuchu banat hai tose