Question

Quick question;

Differentiate \(f(x)=x^4-6\).

Answer 1

Is it the same as differentiating \(x^4\) (using the power rule) and \(6\)?
So \(\large f'(x)=4x^3-0=4x^3\)?

Answer 2

yep that's right.

Answer 3

Ok good, thanks :)

Answer 4

all constants go to zero.

Answer 5

and d/dx is a linear operator.

Answer 6

So basically, when we differentiate a function that has some constant as term, we reject it in the derivative form, since it goes to 0.

Answer 7

good good, I think I've understood the basics :D

Answer 8

yes.