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

The derivative of cos x with respect to sin x is __________________.

Open in App
Solution


Let u(x) = cosx and v(x) = sinx.

ux=cosx

dudx=ddxcosx

dudx=-sinx .....(1)

vx=sinx

dvdx=ddxsinx

dvdx=cosx .....(2)

dudv=dudxdvdx

dudv=-sinxcosx [From (1) and (2)]

dudv=-tanx

Thus, the derivative of cosx with respect to sinx is −tanx.


The derivative of cos x with respect to sin x is ___−tanx___.

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Trigonometry
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon