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Firstky differentiate to gain an equation for the gradient.Differentiating gives:dy/dx = 6x²Insert x = 2 into the above equation to find the gradient at that particular point of the curve.When ...

This question is about turning points of a curve, these occur when the gradient of a line is zero. In its current form, the equation of the curve tells us nothing about the gradient of the curve; it must ...

Integration is the opposite of differentiation.First of all take your 2x³ So in differentiation you would times the power by the coefficient and then minus one from the power.This would give,6x...

The chain rule is used to differentiate when there is a function within another function. For example y=(4x+6)^0.5, y=(x+1)³The general formula for the chain rule is dy/dx= dy/d...

First the student needs to differentiate the function to find dy/dx = 2x-6At dy/dx = 0, we know the curve is stationary. Now we can work out the x value such that x = 3Put x=3 back into the original equat...