CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Differentiate the following with respect to x:

i cos-1 sin x

(ii) cot-11-x1+x

Open in App
Solution

i Let, fx=cos-1sinxfx=cos-1cosπ2-xfx=π2-xThus, f'x=ddxπ2-x= -1
(ii)
cot-11-x1+x=ddxtan-11+x1-x=11+1+x1-x2×1-x+1+x1-x2=1-x21-x2+1+x2×21-x2=1-x21-2x+x2+1+2x+x2=1-x221+x2×21-x2=11+x2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Monotonicity
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon