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Derivative y=√x+√x

  • Thread starter tinala
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  • #1
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Homework Statement



derivative y=√x+√x

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
901
2


[tex]\sqrt{x} = x^{\frac{1}{2}[/tex]
 
  • #3
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  • #4
Char. Limit
Gold Member
1,204
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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]
 
  • #5
8
0


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]
yes that is what I mean but I'm stuck so please would you help me ?
 
  • #6
Char. Limit
Gold Member
1,204
14


Well, do you know the chain rule?
 
  • #7
8
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no we havent studied that yet
 
  • #8
Char. Limit
Gold Member
1,204
14


Well, 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.
 
  • #9
8
0


Well, 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.
thank you very much
 

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