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a) The derivative dy/dx of the equation is: dy/dx = -10x⁴. If you don't remember this, revise Power Rule for derivatives.b) The equation of a line is given by y = mx + q. To find the tangent li...

x^2 - 5x -14 = 0Factorise to give (x-7)(x+2)=0therefore x-7 = 0 OR x+2 = 0 so x = 7 or x = -2

First thing I like to do with questions like these is to check if I can simplify the expression given, and we can simplify this expression. So 4x^2+18x+2 can be simplified to 2x^2+9+1. The next step for m...

2x^2 + 7x + 6 = 0
(2x + 3)(x + 2) = 0
2x +3 = 0 -> 2x = -3 -> x = -3/2
x + 2 = 0 -> x = -2
x = -3/2x = -2

First, we need to identify what type of question this is. Since there are two equations with two unknown values, we can conclude this is a simultaneous equation problem. The fastest way to solve the quest...