Question

Calculate the derivative using the appropriate rule or combination of rules

Answer 1

\[\frac{ 4x ^{4}-x ^{2}+2 }{ \sqrt{x} }\]

Answer 2

i have this done so far:
\[\frac{ \sqrt{x}(16x ^{3}-2x)-\frac{ 4x ^{4}-x ^{2}+2 }{ 2\sqrt{x} } }{ x }\]

Answer 3

or is there a simplier way to do this one?

Answer 4

looks fine

Answer 5

find a CD in the numerator...

Answer 6

now im a little confused as to how to continue.. not sure how to simplfy this one.

Answer 7

2 root x would be the cd

Answer 8

\[ \frac{2x(16x^3−2x)−(4x^4−x^2+2) }{ 2\sqrt{x} }\]

Answer 9

all over x

Answer 10

so what you wrote there all over x.

Answer 11

yes, that's just the numerator...

Answer 12

so can i multiply the x on the very bottom by its reciprocal to get 2x root x on the bottom?

Answer 13

yes:)

Answer 14

then my 2x on the top and botton will cancel right?

Answer 15

no..

Answer 16

oh pellet lol

Answer 17

lol s -- h -- i --- t **

Answer 18

distribute the 2x and you'll have some like terms to combine..

Answer 19

put the 2x into 16x^3-2x?
then i can factor the numerator?

Answer 20

you may be able to factor it.. combine like terms first

Answer 21

doesn't look factorable though...

Answer 22

i got:
28x^4+3x^2-2x/2xrootx

Answer 23

28x^4 -3x^2 -2

Answer 24

right no x at the end there