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| reminders | Content (theory) | Derivatives of expressions in secondary sch | Rules of differentiation | New differentiations to memorise/learn | Implicit differentiation example | differentiation of parametric equations | Questions (theory) | Differentiation of standard functions | Differentiate y=x^(xy) to get dy/dx in terms of x and y, and find the eqn of vertical asymptote | a certain CAM software is designed to move the nozzle along the path c described by the parametric equations x-sin^3(0), y=cos^3(0)-2. find ^2y/dx^2 in terms of → (4) | Content (applications) | Monoticity and concavity | Stationary points | Tangents and Normals | Maximization and minimization | AJC/2010/1/4: The curve C is given by the equation y=x(1/(x)^0.5) where x 0. the variable point P moves along the x-axis from x-10 to x-1 at a constant rate of 1 unit per second. Another variable point Q moves along the curve C so that the x-coordinate of both P and Q are the same at any point in time. (a) find dy/dx in terms of x. Anhd if the area of the triangle OPQ is represented by A. Show that the rate of change of A is (1/2)In(2)-3/2 | HCL/2011/1/Q3x-(u)*0.5 and y-(1/u^2)-2u. (0) Find dy/dx in terms of u. (ii) The tangent at x-1 intersects the X and Y axis at A and C respectively. Find the equation of the. Meanwhile, the normal at x-1 intersects the X and Y axis at B and D. Prove that AB-CD. (iii) and then given that u is increasing at a rate of 0.5 units per second, find the rate at which dy/dx is decreasing when u=2"}]},"collapsedThumbnail":{"thumbnails":[{"url":"https://www.youtube.com/watch?v=xRqrVrt4SU4" frameborder="0" allowfullscreen title="3 years ago (c) by youtube.com" style="float:{#vleft left|#vleft left|#vleft left|#vleft left|#vright right};padding:{#vright 10px 0px 10px 10px|#vleft 10px 10px 10px 0px};border:0px;"></iframe>Whеn you enlist A math tuition , hang outending ᥙp beingaccustomed. Take a trіp of the school. Once you have your class schedule developed, looҝ for the class you will take claѕses at. Talk with the sϲhool guidеs to dіscover everytһing that is rеadily available to y᧐u, what you shoulԁ perform in particular ѕituations and where everytһing is. 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