Final answer to the problem
$y=\left(9-x^{0.5}\right)^{\frac{1}{0,5}}$
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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)
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1
We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $x^{0.5}$ from both sides of the equation
$y^{\left(0,5\right)}=9-x^{0.5}$
2
Raise both sides of the equation to the exponent $\frac{1}{0,5}$
$y=\left(9-x^{0.5}\right)^{\frac{1}{0,5}}$
Final answer to the problem
$y=\left(9-x^{0.5}\right)^{\frac{1}{0,5}}$