Question

Can I get a hand differentiating this: x/(2x+3)^(1/2) I dont know which one comes first, the quotient rule or the power rule...

Answer 1

You could also use the power rule where f(x)=x and g(x)=1/(2x+3)^(1/2)

Answer 2

product rule* sorry

Answer 3

I've tried that as well, what I dont understand is if I use the chain rule when I need to differentiate the 1/(2x+3)^(1/2)

Answer 4

Yeah, you always use the chain rule if there is a function within another function.

Answer 5

Okay, but after all of this I get: \[\frac{ -x }{ 2 }(2x+3)^{-3/2}+(2x+3)^{1/2}\]
How do I simplify all of this?

Answer 6

Remember to apply the chain rule to g(x)