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The first step is to find dx/dt and dy/dt, this is done using standard differentiation rules giving the resultsdx/dt = 2t dy/dt = 2
The second step is to eliminate dt. This can be done by the mu...

Consider the 2x2 matrix M, consisting of elements a, b, c and d. To find its inverse one must first find the det...

y = 2x + 5 + 27x^-2To find a stationary point, find the gradient function by differentiating with respect to x:y' = 2 -54x^-3To find a stationary point, let the gradient function equal...

Firstly, Differentiate the equation to find dy/dx. (dy/dx = 6x^2-10x-4)dy/dx shows the rate of change of the curve at a point, so at the stationary point dy/dx =0. So, put dy/dx = 0 and solve using factor...

I would first ask the student to draw a cubic graph(preferably the function in asking depending on the student's capability). I would then ask the student to show me where the stationary points in the gra...