Derivative of x - ln(1-e^x)
1:40
Derivative of x - ln(1-e^x)
2 сағат бұрын
Derivative of sqrt(x^2-1) - arctan(sqrt(x^2-1))
3:13
Derivative of sqrt(x^2-1) - arctan(sqrt(x^2-1))
4 сағат бұрын
Derivative of -1/4x^4
1:02
Derivative of -1/4x^4
7 сағат бұрын
Derivative of x^2/2 + 5x + 25ln(x-5)
2:21
Derivative of x^2/2 + 5x + 25ln(x-5)
9 сағат бұрын
Derivative of -1/(x+1)
1:15
Derivative of -1/(x+1)
12 сағат бұрын
Derivative of (-1/x)ln(x) - 1/x
2:04
Derivative of (-1/x)ln(x) - 1/x
14 сағат бұрын
Derivative of -2/sqrt(x)
2:15
Derivative of -2/sqrt(x)
19 сағат бұрын
Derivative of (1/4)arctan(x^4)
1:13
Derivative of (1/4)arctan(x^4)
21 сағат бұрын
Derivative of 2sqrt(sin(x)) - (2/5)sqrt(sin^5(x))
3:39
Derivative of 2sqrt(sin(x)) - (2/5)sqrt(sin^5(x))
Күн бұрын
Derivative of tan^2(x)/2
1:11
Derivative of tan^2(x)/2
Күн бұрын
Derivative of -cos(e^x)
1:05
Derivative of -cos(e^x)
Күн бұрын
Derivative of 2sqrt(2)sin(x/2)
2:23
Derivative of 2sqrt(2)sin(x/2)
Күн бұрын
Derivative of arcsin((x-2)/2)
2:19
Derivative of arcsin((x-2)/2)
14 күн бұрын
Derivative of 2arctan(sqrt(x-1))
1:48
Derivative of 2arctan(sqrt(x-1))
14 күн бұрын
Derivative of 1/cos(x)
1:45
Derivative of 1/cos(x)
14 күн бұрын
Derivative of x+9ln(x-6)
1:19
Derivative of x+9ln(x-6)
14 күн бұрын
Derivative of -(2/9)(1-x^3)^(3/2) + (2/15)(1-x^3)^(5/2)
3:22
Derivative of -(2/9)(1-x^3)^(3/2) + (2/15)(1-x^3)^(5/2)
14 күн бұрын
Derivative of -(1/3)cot^3(x) - cot(x)
2:27
Derivative of -(1/3)cot^3(x) - cot(x)
14 күн бұрын
Derivative of ln(sqrt(x^2-1)+x)
2:03
Derivative of ln(sqrt(x^2-1)+x)
14 күн бұрын
Derivative of (x^2/2)(arctan(x))^2 - x*arctan(x) + (1/2)(arctan(x))^2 + (1/2)ln(1+x^2)
6:03
Derivative of (x^2/2)(arctan(x))^2 - x*arctan(x) + (1/2)(arctan(x))^2 + (1/2)ln(1+x^2)
21 күн бұрын
Derivative of (2/3)arcsin(x^(3/2))
1:39
Derivative of (2/3)arcsin(x^(3/2))
21 күн бұрын
Derivative of -1/sqrt(1+x^2)
1:29
Derivative of -1/sqrt(1+x^2)
21 күн бұрын
Derivative of -2sqrt(1-x) + (4/3)sqrt((1-x)^3) - (2/5)sqrt((1-x)^5)
3:39
Derivative of -2sqrt(1-x) + (4/3)sqrt((1-x)^3) - (2/5)sqrt((1-x)^5)
21 күн бұрын
Derivative of (ln(x))^2/2
1:00
Derivative of (ln(x))^2/2
21 күн бұрын
Derivative of -cos(x) + cos^3(x)/3
2:19
Derivative of -cos(x) + cos^3(x)/3
21 күн бұрын
Derivative of sqrt(1+x^2) + ln(x) - ln(sqrt(1+x^2)+1)
5:55
Derivative of sqrt(1+x^2) + ln(x) - ln(sqrt(1+x^2)+1)
21 күн бұрын
Derivative of e^x - arctan(e^x)
1:57
Derivative of e^x - arctan(e^x)
28 күн бұрын
Derivative of (1/4)arctan(x^2/2)
1:34
Derivative of (1/4)arctan(x^2/2)
28 күн бұрын
Derivative of 2arctan(sqrt(e^x-1))
2:08
Derivative of 2arctan(sqrt(e^x-1))
Ай бұрын
Пікірлер
@Durga9348_ff
@Durga9348_ff 12 күн бұрын
1/cosx = secx , we know derivative of secx is secx•tanx , is there any error or i am correct. But if we dont know the derivative of secx then this us the way ❤❤❤ nice work ❤
@DerivativesForYou
@DerivativesForYou 12 күн бұрын
Yes, you are correct! You will see in both of my channels that... I don't like sec(x) and csc(x) 🙃. Since they are just another way to write 1/cos(x) and 1/sin(x) I prefer to write 1/cos(x) and 1/sin(x)... I think I don't like them because I didn't learn them as soon as tan(x) or cot(x)... I don't know hehe. And as you say, if you don't know the derivative of sec(x), this is the way to calculate its derivative 💪
@DerivativesForYou
@DerivativesForYou 12 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 12 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@MikeMagTech
@MikeMagTech 13 күн бұрын
I have been enjoying both of your channels.
@DerivativesForYou
@DerivativesForYou 13 күн бұрын
Thank you! ❤❤
@ama_abdellaoui
@ama_abdellaoui 16 күн бұрын
Great work 👌💯
@DerivativesForYou
@DerivativesForYou 16 күн бұрын
Thank you! ❤
@ama_abdellaoui
@ama_abdellaoui 17 күн бұрын
Your work method is really impressive.👌👌💯 may I ask you how I can learn the basic rules, bcs I have a big problem with them?
@DerivativesForYou
@DerivativesForYou 16 күн бұрын
Thank you for your comment! In Integrals ForYou (www.youtube.com/@IntegralsForYou) I am working on a PDF which contains the basic rules. If you send me an email to [email protected] I can send it to you 😉
@ama_abdellaoui
@ama_abdellaoui 16 күн бұрын
@@DerivativesForYou oooh thank u , i will
@DerivativesForYou
@DerivativesForYou 16 күн бұрын
@@ama_abdellaoui ❤
@Durga9348_ff
@Durga9348_ff 18 күн бұрын
I am your new subscriber ❤ Keep it up ❤ Lobe you bro 🎉🎉🎉 By the way tumhe dono derivative or integration ki video dalni chaiye 😅
@DerivativesForYou
@DerivativesForYou 18 күн бұрын
Thank you! Enjoy the channels! ❤
@Durga9348_ff
@Durga9348_ff 18 күн бұрын
@@DerivativesForYou , where are you from , and your age pls 😅
@DerivativesForYou
@DerivativesForYou 17 күн бұрын
@@Durga9348_ff I am from Spain and I'm sorry but I don't tell my age 🤷
@Durga9348_ff
@Durga9348_ff 17 күн бұрын
@@DerivativesForYou ok bro 🤗 keep it up . Literally you forced me to subscribe your channel. Nice 👍
@DerivativesForYou
@DerivativesForYou 16 күн бұрын
@@Durga9348_ff hehe I didn't force you but I am so happy you subscribed! ❤💪🥳
@DerivativesForYou
@DerivativesForYou 22 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 22 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 22 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 23 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 23 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 23 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 23 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 23 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 23 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 23 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou 23 күн бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@MikeMagTech
@MikeMagTech 27 күн бұрын
Impressive!
@DerivativesForYou
@DerivativesForYou 26 күн бұрын
Thank you! I particularly like the last steps where the numerator is factorized and simplified! 💪
@barindara6583
@barindara6583 Ай бұрын
Besides the way you solve the problems,I really love your handwriting 😍
@DerivativesForYou
@DerivativesForYou Ай бұрын
Thank you! ❤❤ Happy that you enjoy it!
@MikeMagTech
@MikeMagTech Ай бұрын
Nice job. There was some work in that one.
@DerivativesForYou
@DerivativesForYou Ай бұрын
Yeah! I like the last steps, in the last line, with all the simplifications 💪
@DerivativesForYou
@DerivativesForYou Ай бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou Ай бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
@DerivativesForYou
@DerivativesForYou Ай бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!
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❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐡𝐞𝐥𝐩 𝐦𝐞 𝐠𝐫𝐨𝐰 𝐭𝐡𝐢𝐬 𝐜𝐡𝐚𝐧𝐧𝐞𝐥! 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮!