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)   (b) e (-x) cos e x (c) e x sine x    (d) -e x tan e x

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

### 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)