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(c) The folium of Descartes is an algebraic curve defined be the equation x³+y³-3xy = 0 Find an equation of the tangent
Posted: Tue Jun 07, 2022 5:42 am
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- C The Folium Of Descartes Is An Algebraic Curve Defined Be The Equation X Y 3xy 0 Find An Equation Of The Tangent 1 (22.68 KiB) Viewed 50 times
(c) The folium of Descartes is an algebraic curve defined be the equation x³+y³-3xy = 0 Find an equation of the tangent line to the folium of Descartes at the point (d) Consider the function f(x) = 3x4 - 4x³. (i) Find the intervals over which the function f(x) is increasing and the intervals on which it is decreasing. (ii) Find the intervals over which the function f(x) is concave upwards and the intervals on which it is concave downwards. (iii) Determine the points of inflection of f(x). (iv) Sketch f(x) showing all intercepts, turning points and points of inflec- tion.