Final answer to the problem
$y=\frac{\sqrt{x+\sqrt{x+\sqrt{x}}}}{x}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve for x
- Solve for y
- Find the derivative
- Solve by implicit differentiation
- Solve for y'
- Find dy/dx
- Derivative
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Load more...
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1
Divide both sides of the equation by $x$
$\frac{xy}{x}=\frac{\sqrt{x+\sqrt{x+\sqrt{x}}}}{x}$
2
Simplify the fraction $\frac{xy}{x}$ by $x$
$y=\frac{\sqrt{x+\sqrt{x+\sqrt{x}}}}{x}$
Final answer to the problem
$y=\frac{\sqrt{x+\sqrt{x+\sqrt{x}}}}{x}$