Question

can someone explain me the derivative rules

Answer 1

of what ?

Answer 2

all 7 rules

Answer 3

type them lol

Answer 4

power rule for multiple integer

Answer 5

@dan815

Answer 6

bswan i thought swan7 was you at first

Answer 7

okay swan there are a couple basic derivative rules

Answer 8

Ill call d/dx = D
D(X^n) = n*X^(n-1) ----> comes from first principal doing binomial expansion and simplfying

Answer 9

principles*

Answer 10

D(f*g) where; D=d/dx and f and g are functions of x
= f' g + g' f

Answer 11

no she is not me lol xD
im the origion xD

Answer 12

D(f)^n ; where f = function of x, D=d/dx
= n*(f)^(n-1) * f'

Answer 13

i thought she was me too :P

Answer 14

cause i saw her when she first came on and the only fan she had was ganeshi... so i was like must be bswan

Answer 15

@swan7 are you following those rules so far, want me to keep going

Answer 16

another general one is the division rule, but that can be generalized to the product rule

Answer 17

other than that theres the derivatives with log and ln and e and the cos and sin functions

Answer 18

can you tell me how will i know to apply it in any particular question

Answer 19

oaky do these 3 problems
D(2x^4)
D(3(2x-1)^2)
D(2x^4 * 3(2x-1)^2)

Answer 20

ill change it to that instead

Answer 21

try doing those 3 problems first

Answer 22

D=d/dx, diff wrt to x

Answer 23

8x
12x-0
8x(24x)

Answer 24

what xD

Answer 25

use the 3 first rules of differentiation i showed you
power rule, chain rule and product rule

Answer 26

power Rule D(X^n) = nX^(n-1)
Chain Rule D(F^n) = nF^(n-1) * F' ; where F is a function of X
Product Rule D(F G) = F' G + G' F ; where G and F are functions of x

Answer 27

Probelms

D(2x^4)
D(3(2x-1)^2)
D(2x^4 * 3(2x-1)^2)

Answer 28

ok try again