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Implicit Differentiation

Implicit Differentiation - Radical Functions


If x23+y23=4,\sqrt[3]{x^2}+\sqrt[3]{y^2}=4, what is dydx?\displaystyle \frac{dy}{dx}?

If x=y11+yx=y\sqrt{11+y}, what is dydx?\displaystyle \frac{dy}{dx}?

Find dydx\displaystyle \frac{dy}{dx} for 7x+6y=13y27\sqrt{x}+6\sqrt{y}=13y^2 at the point (1,1).(1,1).

Given f(x)=xx2+1243,f(x)=\sqrt[3]{\frac{x}{x^2+124}}, what is the value of f(1)?f'(1)?

If 3x+y=5\sqrt{3x}+\sqrt{y}=\sqrt{5}, what is dydx?\displaystyle \frac{dy}{dx}?


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