- #1
- 8
- 0
Homework Statement
derivative y=√x+√x
yes that is what I mean but I'm stuck so please would you help me ?I assume you mean
[tex]y=\sqrt{x+\sqrt{x}}[/tex]
If that's the case, use the chain rule. But be sure to mark clearly with parentheses. What you wrote could just as easily be:
[tex]y=\sqrt{x}+\sqrt{x}[/tex]
thank you very muchWell, that's not good, because you need the chain rule to solve this. Basically, it states that if we have two functions, f(x) and g(x), that the derivative of f(g(x)) is f'(g(x)*g'(x). Or, in Leibniz notation...
[tex]\frac{df}{dx} = \frac{df}{dg} \frac{dg}{dx}[/tex]
Now, by setting [itex]f(g(x)) = \sqrt(g(x))[/itex] and [itex]g(x)=x+\sqrt(x)[/itex], you can use the chain rule to get the derivative.