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a) This question tests you on using fractions, brackets and quadratic equations.  We should start by trying to make it into a form we know how to deal with. This will be by the balance method. If we multi...

Max and Mins occur where the slope of a graph equals zero. 

To find this, if we take the 1st derivative of a function and set the derivative equal to zero to solve for x. 

The values we solv...

Multiply by 4-y   => t(4-y)=y+2 Expand the brackets  => 4t-ty=y+2 Get all the y's on the same side => 4t-2=ty+y Factor out the y  => 4t-2=(t+1)y Divide by t+1  => (4t-2)/(t+1)=y

Notes; *Stationary (Turning) points are the points on the graph which are lowest or highest. (maximum or minima). *The gradient at a stationary point is zero. Steps:  1. Differentiate the function once to...

find dy/dx, algebraically manipulate the expression to get dy/dx in terms of x and y and then subsitute in the given point.