I'm totally confused that what is indeed the difference between differential and dirivative .Hope anyone could help me figure it out .Thanks.

Question

hba · Answer

I don't agree with @AravindG

hba · Answer

Both of them are closely related but are different from each other.

aravindg · Answer

well both are very much closely related....

he derivative refers to the rate at which a function changes with respect to another measure. 
The differential refers to the actual change in a function across a parameter.
The differential of a function is equal to its derivative multiplied by the differential of the independent variable .

aravindg · Answer

*The

hba · Answer

I would like you to read this up http://www.differencebetween.com/difference-between-derivative-and-vs-differential/

aravindg · Answer

@施翠婷  an interesting name you have :)

aravindg · Answer

WELCOME TO OPENSTUDY!

anonymous · Answer

Thanx ! : ) 
One more question . Is df(x) actually equal to delta f(x) ?

aravindg · Answer

df(x) is for an infinitesimally small change ,but delta f(x) is simply the change

aravindg · Answer

you can see delta f(x)>>df(x)

anonymous · Answer

So why the result of the dirivative of f(x)  is equal to that of  df(x)/dx?

hba · Answer

@施翠婷 Yeah,You still there ?

unklerhaukus · Answer

$\mathrm dy$       differential of y

$\frac{\mathrm dy}{\mathrm dx}$       derivative of y