Derivative of (((x-2)/(x+12))/2)^3/2

[LearninDaMath]

Homework Statement

However, according to the online homework program, I was supposed to get this answer:

Question 1: Is my answer incorrect?


Question 2: Assuming my answer is also correct, how could I approach/evaluate this function in order to get the preferred answer of the homework assignment?

 

[Fredrik]

There's an extra /2 in the thread title. Is that supposed to be there? That "10" is wrong, so you need to check that part of the calculation. You may also want to practice writing the number 2 so that it doesn't look like ∂.

 

[LearninDaMath]

Yep, that extra two in the title means I've been up for two hours too long lol. And because I didn't distribute the negative sign correctly when applying the quotient rule, I got a 10 in the numerator when I should have gotten a 14, which would have then yielded the right numerator (14(3))/2 = 21. Appreciate your help on this problem.