Final answer to the problem
$y=\sqrt{-x^2-9},\:y=-\sqrt{-x^2-9}$
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Step-by-step Solution
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- 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 $x^2+9$ from both sides of the equation
$y^2=-\left(x^2+9\right)$
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$y^2=-\left(x^2+9\right)$
Learn how to solve equations problems step by step online. Solve the equation x^2+y^2+9=0. We need to isolate the dependent variable y, we can do that by simultaneously subtracting x^2+9 from both sides of the equation. Simplify the product -(x^2+9). Removing the variable's exponent. Cancel exponents 2 and 1.
Final answer to the problem
$y=\sqrt{-x^2-9},\:y=-\sqrt{-x^2-9}$
