Solving: $\frac{d}{dx}\left(\sqrt{ax}+\sqrt{by}=0\right)$
Exercise
$\frac{dy}{dx}\left(\sqrt{ax}+\sqrt{by}=0\right)$
Step-by-step Solution
Learn how to solve equations with square roots problems step by step online. Find the implicit derivative d/dx((ax)^(1/2)+(by)^(1/2)=0). The power of a product is equal to the product of it's factors raised to the same power. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (0) is equal to zero. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Find the implicit derivative d/dx((ax)^(1/2)+(by)^(1/2)=0)
Final answer to the exercise
$y^{\prime}=\frac{-\sqrt{a}\sqrt{y}}{\sqrt{x}\sqrt{b}}$