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Implicit Differentiation

Implicit Differentiation - Inverse Trigonometric Functions


If tan1(x2y)=3x+6y,\displaystyle \tan^{-1} \left(x^2y\right)=3x+6y, what is dydx?\frac{dy}{dx} ?

Given the function tan1(4xy)=5,\tan^{-1}(4xy)=5, What is dydx?\frac{dy}{dx}?

If cos1(6xy3x+y)=ea,\displaystyle \cos^{-1} \left(\frac{6x-y}{3x+y}\right)=e^a, what is dydx? \frac{dy}{dx} ?

If sin1(7x2y2)=ln6,\displaystyle \sin^{-1} (7x^2-y^2)=\ln 6, what is dydx? \frac{dy}{dx} ?

Given the function cos1(3x+11y)=12,\cos^{-1}(3x+11y)=12, what is dydx? \frac{dy}{dx} ?


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