Example 32 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at Dec. 16, 2024 by

Example 32 - Find dy/dx, if x = at2, y = 2at - Class 12 CBSE - Examples

part 2 - Example 32 - Examples - Serial order wise - Chapter 5 Class 12 Continuity and Differentiability

Share on WhatsApp

Transcript

Example 32 Find 𝑑𝑦/𝑑𝑥 , if 𝑥 = 𝑎𝑡2, 𝑦 = 2𝑎𝑡 .Here 𝑑𝑦/𝑑𝑥 = (𝑑𝑦/𝑑𝑡)/(𝑑𝑥/𝑑𝑡) Calculating 𝒅𝒚/𝒅𝒕 𝑦 = 2𝑎𝑡" " 𝑑𝑦/𝑑𝑡 " " = 𝑑(2𝑎𝑡)/𝑑𝑡 𝑑𝑦/𝑑𝑡 = 2𝑎 . 𝑑(𝑡)/𝑑𝑡 𝑑𝑦/𝑑𝑡 = 𝟐𝒂 Calculating 𝒅𝒙/𝒅𝒕 𝑥=𝑎𝑡2 𝑑𝑥/𝑑𝑡 " " = 𝑑(𝑎𝑡2)/𝑑𝑡 𝑑𝑥/𝑑𝑡 " " = 𝑎 . 𝑑(𝑡2)/𝑑𝑡 " " 𝑑𝑥/𝑑𝑡 " " = 𝟐𝒂𝒕 Therefore 𝑑𝑦/𝑑𝑥 = (𝑑𝑦/𝑑𝑡)/(𝑑𝑥/𝑑𝑡) 𝑑𝑦/𝑑𝑥 = 2𝑎/2a𝑡 𝒅𝒚/𝒅𝒙 = 𝟏/𝒕

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo