Use implicit differentiation to find \(\frac{dy}{dx}\) for the following equation\(x^2 + y^2 = 25 + 5x\)
Use implicit differentiation to take the derivative of \(y\) with respect to \(x\) for the following equation\(y^5 + 2y = x^2\)
For the following function, find \(\frac{dy}{dx}\) by implicit differentiation \(x^2 + 2xy + y^2 = 5\)
Find \(\frac{dy}{dx}\) when \(x^3 + 3y^4 = 2x + 7\)
Find the derivative of \(y\) with respect to \(x\) for the following equation\(y(x+4) = x^2 - 3\)
Find \(\frac{dy}{dx}\) and the slope of the tangent line at \((-2, 1)\) for the curve given by\(2x^2 - 3y^3 = 5\)
Determine the first and second derivatives, \(\frac{dy}{dx}\) and \(\frac{d^{2}y}{dx^2}\) for the following equation\(x^2 + xy = 4\)
Find \(\frac{dy}{dx}\) for \(x^2 + y^3 = \log{(x + y)}\)
Find \(\frac{dy}{dx}\) and the slope of the tangent line at (0,3) for the curve given by\(y^3 + x^{2}y^{5} - x^4 = 27\)
Find the tangent line to the curve \(xy + \ln{(xy^2)} = 1\) at the point \((1,1)\)
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