Differentiate logbase5 (xe^x)

  Рет қаралды 5,234

Prime Newtons

Prime Newtons

Күн бұрын

In this video, I showed how to differentiate a logarithmic function using logarithmic differentiation.

Пікірлер: 30
@dicaprio7212
@dicaprio7212 8 ай бұрын
Very detailed explanation, clearer than what my university professor gave,thanks! From Taiwanese.
@PrimeNewtons
@PrimeNewtons 8 ай бұрын
Glad it was helpful!
@abhinashdundu5354
@abhinashdundu5354 8 ай бұрын
Please solve some questions on coordinate geometry
@OpPhilo03
@OpPhilo03 8 ай бұрын
Sir, Your teaching style is very attractive and amezing.😊😊. Love from India .
@PrimeNewtons
@PrimeNewtons 8 ай бұрын
Thanks and welcome
@hvok99
@hvok99 8 ай бұрын
dy/dx [LOGa(B)] = 1/xlna Using this fact and the chain rule we get 1/[(x)(e^x)(ln5)] × [e^x + xe^x] Which simplifies to (x + 1)/(xln(5)) Great video!
@donewell7427
@donewell7427 Ай бұрын
Great tutor
@sudiptoatutube
@sudiptoatutube 8 ай бұрын
The very moment you smile, I hit the like button! I know the rest of the video will be a charm! You are the best passionate Maths teacher on web!
@jamesharmon4994
@jamesharmon4994 8 ай бұрын
Not what I was expecting. I've seen a lot of Lambert W function videos lately... and my eye was instantly drawn to the "x *e^x" part. LOL
@jamesharmon4994
@jamesharmon4994 8 ай бұрын
I was expecting this to work somehow: 5^y = x*e^x
@rayyt5566
@rayyt5566 8 ай бұрын
02:07 A normal person: Ignores 1/ln5 because it’s a constant Me, an intellectual: QUOTIENT RULE
@PrimeNewtons
@PrimeNewtons 8 ай бұрын
🤣🤣🤣🤣🤣
@gokalpgorduk7685
@gokalpgorduk7685 8 ай бұрын
Great video as always!
@PrimeNewtons
@PrimeNewtons 8 ай бұрын
Glad you enjoyed!
@radhikasahupioneer2004
@radhikasahupioneer2004 8 ай бұрын
Or u can simply tak log5 on both sides and use the differnetation of 5^y----5^y ln5 and later on put 5^y=xe^x
@marvinochieng6295
@marvinochieng6295 8 ай бұрын
Mans writes better on chalk than i do on a paper.
@godza4735
@godza4735 8 ай бұрын
Hello , can you make a video for graph of a function like some radical function and then to find domain , y intercept x intercept, asymptotes , extremes , concavity and these kind of things ? But keep going great video !
@PrimeNewtons
@PrimeNewtons 8 ай бұрын
I already have those videos. Search Curve sketching
@odumosuadeniyilukman
@odumosuadeniyilukman 8 ай бұрын
Still waiting for your vedio on vector CALCULUS Sir 🙇@ prime newton
@PrimeNewtons
@PrimeNewtons 8 ай бұрын
Coming soon
@Qwexxxy
@Qwexxxy 6 ай бұрын
Why cant you just apply the chain rule??
@jbasanth4896
@jbasanth4896 8 ай бұрын
Why does the derivative of 1/ln5 not become as 0???
@bipinkarki6663
@bipinkarki6663 8 ай бұрын
? Ur self what's the derivative of 2x , and watch it again, And u will get ur answer
@jbasanth4896
@jbasanth4896 7 ай бұрын
Sorry, I made a careless mistake and thank you for rectify my mistake
@glorrin
@glorrin 8 ай бұрын
if the original line was in term of log5, I would expect the answer to be with log5 I'll try myself y' = (x+1)/(xln(5)) = 1/x * ( lne^(x+1)/ln(5)) = 1/ln(5) * (ln( e^( (x+1)/x ) ) = log5( e^( (x+1)/x ) )
@PrimeNewtons
@PrimeNewtons 8 ай бұрын
Nice!
@syphaxjuba8420
@syphaxjuba8420 8 ай бұрын
bonsoir sire vous pouvez utiliser la méthode log5 directement
@mBOMBZz
@mBOMBZz 8 ай бұрын
Do some epsilon / delta type proof problems. They always gave me trouble at uni when I was doing my degree
@noreldenzenky1527
@noreldenzenky1527 8 ай бұрын
My result (1+1/x)/log5
@comdo777
@comdo777 8 ай бұрын
asnwer=1x isit
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