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As the tangent has the same gradient as the curve at the particular point, we need to find the gradient of the curve. To find the gradient we need to differentiate. Due to there being two variables in thi...

y = 3x - 3

x^2= 4(x^2 - 6x + 9)

x^2= 4x^2- 24x + 36

3x^2 - 24x + 36= 0

(x-2)(x-6)=0

x= 2 or x=6

Firstly, note that a stationary point can either be a local maximum, local minimum or point of inflexion. Now suppose you have a differentiable function (a graph which has a unique gradient/derivative at ...

Use the factorisation method.

Step 1: Rewrite (x + __ )(x + __ ) = 0

Step 2: We need to fill in the blanks. The numbers we require are -2 and -9.

Step 3: We need the values of x, so t...