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y = x³ + 1.5x² -6x Hence, dy/dx = 3x² + 3x - 6 Solve to find x when dy/dx = 0 as gradient is zero at stationary points Substitute the vaules for x back into y to find y co...

There are 2 methods to solving this- the visual method and the kinesthetic method. Here I will use the visual one. We start by creating a vector triangle. We are going to use R = P + Q, where R is the res...

(1.) Integrate the expression for acceleration to find an expression for velocity: Velocity v = t^2 - 3t + c        When t = 0, velocity = 2. Substituting in to find constant c, 2 = 0 + 0  + c therefore c...

 u = Cos(x³)

To differentiate this function we will use the chain rule. Firstly we will set x³  to another variable name such as v. So now v = x³ . Lets differentia...

This question uses a combination of standard differentiation and the product rule. The second part of the equation cos(x)sin(x) is the product of two funtions so the product rule must be used. Product rul...