Conic Sections: Parabola and Focus. example. Conic Sections: Ellipse with Foci

turning\:points\:y=\frac{x^2+x+1}{x} turning\:points\:f(x)=x^3; turning\:points\:f(x)=\ln (x-5) turning\:points\:f(x)=\frac{1}{x^2} turning\:points\:y=\frac{x}{x^2-6x+8}

How to find turning points? Find a way to calculate slopes of tangents (possible by differentiation). Find when the tangent slope is . There could be a turning point (but there is not necessarily one!)

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Finding Turning Points using Completing the Square. This video explains how completing the square can be used to find turning points of quadratic graphs. It includes