Question

need help on the attachment

Answer 1

I got 3(x-3)-(x-4)/3(x-3)^(2/3), but my answer doesn't match any of the answer choices

Answer 2

number 2 is correct

for prob like this: use
http://www.numberempire.com/derivatives.php
dont let your teacher know about this website....

Answer 3

how would I input the question into there

Answer 4

number 2 is correct

for prob like this: use
http://www.numberempire.com/derivatives.php
dont let your teacher know about this website....

Answer 5

put in (x+4)(x-3)^(1/3)

Answer 6

can it show you the work how they got it

Answer 7

sure, use product rule:
\[((x+4)(x-3)^{1/3})' = ((x-3)^{1/3}) + (x+4) \frac{1}{3} (x-3)^{-\frac{2}{3}}\]
\[= (3(x-3)^{2/3} ((x-3)^{1/3}) + (x+4) ) * \frac{1}{3} (x-3)^{-\frac{2}{3}}\]
\[=(4x-5 ) * \frac{1}{3} (x-3)^{-\frac{2}{3}}\]