Question

differentiate the given function and simplify. 1-5x^2/(3+2x)^1/3

Answer 1

use quotient rule and chain rule

Answer 2

i have used them i get to (3+2x)^1/3(-10x)-(1-5x^2)[2/3(3+2x)]^-2/3 all over (3+2x)^7/3 I do not feel like this is the correct answer at this point. should i multiply 3*-10x then 2x*-10x and so on

Answer 3

I need more help

Answer 4

sorry for the late response
\[d/dx[(1-5x^2)/(3+2x)^{1/3}]=\]
\[[(-10x^2)(3+2x)^{1/3}-(1-5x^2)(2/3)(3+2x)^{-2/3}]/(3+2x)^{2/3}\]after simlifying
\[[3(3+2x)(-10x)-(2-10x^2)]/[3(3+2x)^{4/3}]\]
after simplifying again you get
\[(-50x^2-90x-2)/(3(3+2x)^{4/3})\]
simplify one more time
\[-2(25x^2+45x+1)/3(3+2x)^{4/3}\]
This should be your final answer