Question

Find the derivative of the function.

f(x)=6x^3-2x-5

Answer 1

\[f(x)=6x^3-2x-5\]
\[\frac{\text df(x)}{\text dx}=18x^2-2\]

Answer 2

why 18? why not 12?

Answer 3

3*6 = 18

Answer 4

oh so it's the exponent times the coefficient..

Answer 5

yes and take away one from the exponent after

Answer 6

\[\frac {\text d }{\text dx}\left(x^n\right)=nx^{n-1}\]

Answer 7

isn't there supposed to be a +C to replace the 5? or is that antiderivatives?

Answer 8

thats anti

Answer 9

that's**

Answer 10

oh all right. Thanks guys.

Answer 11

the is for when you don't know what the constant is but when you take a derivative you know what the constant is

Answer 12

c is constant of integration,

Answer 13

the 'c'

Answer 14

oh i see.

Answer 15

Know the product formula?

Answer 16

yea what they mentioned above is the shortcut i was confused about. They cleared it up for me. Thanks anyway =D

Answer 17

No problem, that is the product formula.