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Question 6 - Examples - Chapter 5 Class 12 Continuity and Differentiability
Last updated at May 29, 2023 by Teachoo
Examples
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Example 43
Question 1 Deleted for CBSE Board 2024 Exams
Question 2 Important Deleted for CBSE Board 2024 Exams
Question 3 Deleted for CBSE Board 2024 Exams
Question 4 Important Deleted for CBSE Board 2024 Exams
Question 5 Deleted for CBSE Board 2024 Exams
Question 6 Important Deleted for CBSE Board 2024 Exams You are here
Transcript
Example 44 Differentiate w.r.t. x, the following function: (ii) π^(sec^2β‘π₯ ) + 3cos^(β1) π₯ Let y = π^(sec^2β‘π₯ ) + 3cos^(β1) π₯ Differentiating π€.π.π‘.π₯ ππ¦/ππ₯ = π(π^(sec^2β‘π₯ )+ 3cos^(β1) π₯" " )/ππ₯ ππ¦/ππ₯ = π(π^(sec^2β‘π₯ ) )/ππ₯ + π (πγπππγ^(βπ) π)/π π ππ¦/ππ₯ = π^(sec^2β‘π₯ ) π(sec^2β‘π₯ )/ππ₯ + 3. ((βπ)/β(π βπ^π )) ππ¦/ππ₯ = π^(sec^2β‘π₯ ). 2 sec π₯ . π (γπππ γβ‘π )/π π β 3/β(1 βπ₯^2 ) "As" π(π^π₯ )/ππ₯=π^π₯ & π(γπππ γ^(β1)β‘π₯ )/ππ₯=(β1)/β(1 βγ π₯γ^2 ) ππ¦/ππ₯ = π^(sec^2β‘π₯ ). 2 sec π₯ . πππβ‘π .πππβ‘π β 3/β(1 β π₯^2 ) π π/π π = γπ πγ^(γπππγ^πβ‘π ). γπππγ^π π .πππβ‘π β π/β(π β π^π )
