Final answer to the problem
$y=\left(4-\sqrt[5]{x}\right)^5$
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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 $\sqrt[5]{x}$ from both sides of the equation
$\sqrt[5]{y}=4-\sqrt[5]{x}$
Learn how to solve equations problems step by step online. Solve the equation x^(1/5)+y^(1/5)=4. We need to isolate the dependent variable y, we can do that by simultaneously subtracting \sqrt[5]{x} from both sides of the equation. Removing the variable's exponent raising both sides of the equation to the power of 5. Cancel exponents \frac{1}{5} and 5.
Final answer to the problem
$y=\left(4-\sqrt[5]{x}\right)^5$
