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Misc 1 - Differentiate (3x2 - 9x + 5)9 - Chapter 5 Class 12 - Finding derivative of a function by chain rule

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Misc 1 Differentiate w.r.t. x the function, 3𝑥2 – 9𝑥 + 5﷯﷮9﷯ Let 𝑦= 3𝑥2 – 9𝑥 + 5﷯﷮9﷯ Differentiating 𝑤.𝑟.𝑡.𝑥. 𝑑𝑦﷮𝑑𝑥﷯ = 𝑑 3𝑥2 – 9𝑥 + 5﷯﷮9﷯﷮𝑑𝑥﷯ = 9 3𝑥2 – 9𝑥 + 5﷯﷮9 −1﷯ . 𝑑 3𝑥2 – 9𝑥 + 5﷯﷮𝑑𝑥﷯ = 9 3𝑥2 – 9𝑥 + 5﷯﷮8﷯ . 𝑑 3𝑥2﷯﷮𝑑𝑥﷯ − 𝑑 9𝑥﷯﷮𝑑𝑥﷯ − 𝑑 5﷯﷮𝑑𝑥﷯﷯ = 9 3𝑥2 – 9𝑥 + 5﷯﷮8﷯ . 6𝑥−9+0﷯ = 9 3𝑥2 – 9𝑥 + 5﷯﷮8﷯ . 6𝑥−9﷯ = 9 3𝑥2 – 9𝑥 + 5﷯﷮8﷯ . 3 2𝑥−3﷯ = 27 3𝑥2 – 9𝑥 + 5﷯ 2𝑥−3﷯ Hence, 𝒅𝒚﷮𝒅𝒙﷯ = 𝟐𝟕 𝟑𝒙𝟐 – 𝟗𝒙 + 𝟓﷯ 𝟐𝒙−𝟑﷯

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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