SOLUTION: What is the derivative of (6x-2)[(x^2-5x+3)]^1/2

Question 1034339: What is the derivative of (6x-2)[(x^2-5x+3)]^1/2
Found 2 solutions by solver91311, Boreal:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

Let

Let

Then using the product rule:

But first we need to use the chain rule to find

Hence:

Now back to the product rule, noting that :

We just substitute all of the parts that we now know:

This result demands simplification, but I'll leave the rest in your capable hands.

John

My calculator said it, I believe it, that settles it

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
(6x-2)*(1/2)(x^2-5x+3)^(-1/2)(2x-5)+(x^2-5x+3)^(1/2)*6
=(x^2+5x-3)^(1/2){[(3x-1)(2x-5)/(x^2-5x+3)]+6}. This factors a radical out, which may or may not be helpful.
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