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

Find the derivative of the function given by f(x)=sin(x2)

Open in App
Solution

take ,g(x)=sinx , h(x)=x2

then , f(x)=g(h(x))
since g(x) and h(x) are differentiable functions, f(x)=g(h(x)) is also differentiable.
By chain rule , we get
df(x)dx=dg(h(x))dx=g9(h(x)).h9(x)
=(cosx2)×(2x)
=2xcosx2
i.e, f9(x)=2xcos(x2)

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