Question

LGBADERIVATIVE:
\[\huge F(t) = (3t -1)^4 (2t+1)^{-3}\]

Answer 1

product rule?

Answer 2

yes!

Answer 3

ugh

Answer 4

\[(3t-1)^4 [-3(2t+1)^{-2}]\]first term

Answer 5

\[(2t-1)^{-3} [4(3t-1)^3]\]

Answer 6

\[(3t-1)^4[-3(2t+1)^{-2}] + (2t-1)^{-3}[4(2t+1)^3]\]

Answer 7

oops lol

Answer 8

you are missing a 2 and the powe -2 is wrong inf the first term

Answer 9

\[(3t-1)^4[-3(2t+1)^{-2}] + (2t-1)^{-3}[4(3t-1)^3]\]

Answer 10

2?

Answer 11

the derivative of 2t+1

Answer 12

oh...

Answer 13

the same for 3 in the other term

Answer 14

i get it now though no need to continue this tedious thing on latex ;p lol

Answer 15

\[-9(3t-1)^4[(2t+1)^{-4}] + 8(2t-1)^{-3}[(2t+1)^3]\]
okay is this right @helder_edwin ?

Answer 16

the 9 should be 6

Answer 17

and the 8 should be 12...

Answer 18

and that 2t has to be 3t....darn typos -_-

Answer 19

\[-6(3t-1)^4[(2t+1)^{-2}] + 12(2t-1)^{-3}[(3t+1)^3]\]
better?

Answer 20

ugh! forgot to change -2

Answer 21

\[-6(3t-1)^4[(2t+1)^{-4}] + 12(2t-1)^{-3}[(3t+1)^3]\]
=_=

Answer 22

\[ \Large y'=12(3t-1)^3(2t+1)^{-3}-6(3t-1)^4(2t+1)^{-4} \]

Answer 23

right!

Answer 24

-3?

Answer 25

oh lol