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At the minimum point the gradient is zero so dy/dx=0. To find dy/dx, first expand out the brackets so y=2x^2 - 12x + 10. Using differentiation dy/dx=4x - 12. At the minimum 4x-12=0 so 4x=12 therefore x=3....

Two lines are parallel if they have the same gradient. This can be found by looking at the coefficient of x. When the equation is written in the form y=ax+b, with b a constant, the gradient of the line wo...

First we will find the gradient of the tangent of the curve at A. So first, we differentiate y with respect to x. We get that dy/dx=2x+5. We can plug in x=-4 to find the gradient of the tangent at A. ...