Successive Differentiation One Shot | Differential Calculus | Complete Concept | Bsc BA Maths

Successive Differentiation is one of the most important topics of Higher Mathematics / BSc 1st Semester.
In this one-shot video, you will learn successive and nth order differentiation clearly with logic, patterns, and exam-oriented approach.

This lecture is designed specially for students who find Higher Mathematics difficult and want clear concepts without unnecessary formulas.

📌 In this video you will learn:
00:00 Lecture Intro
01:11 Successive Differential Coefficient
02:45 If 𝑦=(〖𝑠𝑖𝑛〗^(−1) 𝑥)^2, prove that
(1−𝑥^2 ) 𝑦_2−𝑥𝑦_1−2=0
05:38 𝒏^𝒕𝒉 Differential Coefficient of
Some Standard Functions
21:38 If 𝑦=sin⁡𝑚𝑥+cos⁡𝑚𝑥, prove that
25:51 Find the nth differential coefficient of
〖𝑡𝑎𝑛〗^(−1) (𝑥/𝑎)
37:29 Leibnitz’s Theorem
38:29 Find the nth differential coefficient of 𝑥^3 cos⁡𝑥.
45:11 If 𝑦=acos⁡〖(𝑙𝑜𝑔𝑥)+𝑏 sin⁡〖(𝑙𝑜𝑔𝑥)〗 〗, show that
𝑥^2 𝑦_2+𝑥𝑦_1+𝑦=0
And 𝑥^2 𝑦_(𝑛+2)+(2𝑛+1)𝑥𝑦_(𝑛+1)+(𝑛^2+1)𝑦_𝑛=0
51:15 If 𝑦=(𝑥^2−1)^𝑛, prove that
(𝑥^2−1) 𝑦_(𝑛+2)+2𝑥𝑦_(𝑛+1)−𝑛(𝑛+1) 𝑦_𝑛=0.
55:47 If 𝐼_𝑛=𝑑^𝑛/(𝑑𝑥^𝑛 ) (𝑥^𝑛 𝑙𝑜𝑔𝑥), prove that 𝐼_𝑛=𝑛𝐼_(𝑛−1)+(𝑛−1)!
58:34 𝒏^𝒕𝒉 Differential Coefficient for 𝒙=𝟎




✔ Meaning of successive differentiation
✔ First, second, third and nth derivatives
✔ Standard function patterns
✔ Exponential & trigonometric cases
✔ Common mistakes students make
✔ Exam-oriented questions & shortcuts
👉 Perfect for BSc Maths / Higher Mathematics students preparing for semester exams.

📚 Watch till the end for maximum clarity.
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