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The first thing we try to do is factorise the numerator and denominator. Let's start with the numerator. We can take a 7 out of the bracket to leave us with 7( x² + 2x ) on the numerator. But w...

dy/dx = 2x + 3dy/dx = 0 at stationary pointTherefore 2x + 3 = 0so x = -3/2so y = (-3/2)^2 +3 (-3/2) + 4so y = 9/4 - 9/2 + 4therefore y = 7/4so the coordinates of the stationary point are (-3/2 , 7/4)

This can seem quite tricky at first, so let's break it down into steps. If we draw a table of x values (for example 0, 1, 2, 3, 4), we can put each value into our equation and find a correspondin...

Gradient of line: (0-17)/(17-0)= -1 equation of line: y-y₁=m(x-x₁) y-17=-1(x-0) y=17-x equation of circle: (x-4)²+(y-3)²-25=d (completing the square) (x-4)^...