Difference between Turning point and Stationary point

OH ok but you would still use the same method to find them because both turning point and stationary point have gradient=0

Thats correct

Turning point is like the bottom of a v/u shaped graph. A stationary point is a graph with a shape a bit like a thunderbolt where it goes down, then across (the stationary point) then down in the same direction as before.

Technically, this is not true. Stationary point is the more general term. Anywhere where the gradient (therefore derivative) of a graph/function is 0, is a stationary point. If it is a maximum or minimum, then it is also a turning point. However, there is a third type of stationary point which is not a turning point (max or min). This s called a 'point of inflection' and I think this is what you were trying to describe by the 'thunderbolt'. x=0 on the graph of x^3 is an example of a point of inflection (a stationary point that is not a turning point).

Maybe Like I said, i haven't done this in a year, and I did fail c2

then why don't you let people like tenofthem do the job instead of spreading poisonous misinformation?

then why don't you let people like tenofthem do the job instead of spreading poisonous misinformation?

lol, anyway like I said im doing c3 and I dont think point of infaltion is on it so yea

I think that you will find that you do need to know about points of inflexion

You will need to consider what is happening when the second derivative =0

I believe you derive the second time to find max/min gradient of the curve, out of 6 past papers I've done I only met this once

BUT points of inflection do not have to be stationary points. For example y = x^3 - x has a point of inflection at (0,0) that is not a stationary point. It's where the curve changes from 'bending' one way to bending the other. In other words where the tangent crosses the curve.

Are you sure?