Question 6 - Examples - Chapter 5 Class 12 Continuity and Differentiability
Last updated at August 2, 2026 by Teachoo
Examples
Example 1
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Chapter 5 Class 12 Continuity and Differentiability
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Transcript
Example 44 Differentiate w.r.t. x, the following function: (ii) š^(sec^2ā”š„ ) + 3cos^(ā1) š„ Let y = š^(sec^2ā”š„ ) + 3cos^(ā1) š„ Differentiating š¤.š.š”.š„ šš¦/šš„ = š(š^(sec^2ā”š„ )+ 3cos^(ā1) š„" " )/šš„ šš¦/šš„ = š(š^(sec^2ā”š„ ) )/šš„ + š (šćšššć^(āš) š)/š š šš¦/šš„ = š^(sec^2ā”š„ ) š(sec^2ā”š„ )/šš„ + 3. ((āš)/ā(š āš^š )) šš¦/šš„ = š^(sec^2ā”š„ ). 2 sec š„ . š (ćššš ćā”š )/š š ā 3/ā(1 āš„^2 ) "As" š(š^š„ )/šš„=š^š„ & š(ćššš ć^(ā1)ā”š„ )/šš„=(ā1)/ā(1 āć š„ć^2 ) šš¦/šš„ = š^(sec^2ā”š„ ). 2 sec š„ . šššā”š .šššā”š ā 3/ā(1 ā š„^2 ) š š/š š = ćš šć^(ćšššć^šā”š ). ćšššć^š š .šššā”š ā š/ā(š ā š^š )
