The very very last question please 9iii) where it says show that the gradient is -1
i'm up to the point where i've got x^4-5x^2+100=0
but what do I do from there?
Try substituting x^2 for u, the rest ought to become clear.
Set dy/dx as -1 and then move that over to the other side to make dy/dx=0. Then work out the discriminant and it should be negative - meaning no real roots.
And btw - its asking you to show the gradient is NEVER -1
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