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

Find the Derivative of Sin x.


A

sin x

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

cos x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

-cos x

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

-sin x

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

cos x


Let f(x)=sin x.

f(x) =limh0=sin(x+h)sin(x)sinxh

we know, sin h0 and cos h1 ash D

=limh0sin x(cosh1)h+sin hcos xh

Clearly(cosh1h)0 as h0 [I hospitals Rules]

andsinhh as h0

=limh0(sinhh)(cosx)=1(cosx)=cosx

Derivative of sinx=cosx


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Derivative of Simple Functions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon