CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

## (a) cose (x-1) Β  (b) e (-x) cos e x (c) e x sine x Β  Β (d) -e x tan e x

Β

This question is inspired from Ex 5.4, 5 - Chapter 5 Class 12 - Continuity and Differentiability

This video is only available for Teachoo black users

Get live Maths 1-on-1 Classs - Class 6 to 12

### Transcript

Question 18 If y = πππβ‘(πππ β‘γπ^π₯ γ ), then ππ¦/ππ₯ is : (a) πππ π^(π₯β1) (b) π^(βπ₯) "cos" π^π₯ (c) π^π₯ π πππ^π₯ (d) γβπγ^π₯ " tan" γ πγ^π₯ Given π¦ = γlog γβ‘(cosβ‘γπ^π₯ γ ) Differentiating both sides π€.π.π‘.π₯ π(π¦)/ππ₯ = π(γlog γβ‘(cosβ‘γπ^π₯ γ ) )/ππ₯ ππ¦/ππ₯ = 1/cosβ‘γπ^π₯ γ . π(cosβ‘γπ^π₯ γ )/ππ₯ = 1/cosβ‘γπ^π₯ γ . (βsinβ‘γπ^π₯ γ ) . π(π^π₯ )/ππ₯ = 1/cosβ‘γπ^π₯ γ . (βsinβ‘γπ^π₯ γ ) . π^π₯ = (βsinβ‘γπ^π₯ γ)/cosβ‘γπ^π₯ γ . π^π₯ = βtanβ‘γπ^π₯ γ . π^π₯ = βπ^π . πππβ‘γπ^π γ So, the correct answer is (D)

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.