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differentiating the equation gives dy/dx = 4x^3 - 12x^2 dy/dx = 4x^2(x - 3)

at a turning point, dy/dx = 0. Solving the equation 4x^2(x - 3) = 0 yeilds x = 0, x = 3

putting 0 and 3 back into ...

We can split this power into two bits - the negative sign and the fraction.

Let's deal with the negative sign first and forget about the fraction.

So a negative always means '1 over', or the...

a). Find stationary point: Stationary point is the point at which the gradient equals zero. So first we must find the gradient and the set it to zero and solve: dy/dx= 2x-54x^(-1/2); now we set this to ze...

When multiplying powers: we add the powers together (3+6) so we get a^9 When dividing powers: we subtract the powers so a^6/a^3 =(6-3)= a^3 When adding or subtracting them we do not change the power. We m...

y=mx+c where m = gradient and c = the y-intersect hence gradient= 6 and y-intersect=2