AQA Core 2 2.03 Using Differentiation: Finding Stationary Points and Determining their Types

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The saviour of A-Level maths students.

unknownname
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Absolutely awesome explanation Mr J Brown :)

hillyoxygen
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How would you go about finding the y co-ordinates to accompany the x co-ordinates we’ve just found?

midopima
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Would the function not be y= 4/3x^3+ 4x^-1?

coolfons
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I am trying to make sense of the second derivative. Am I correct to say that it represents the gradient after the stationary point.

Therefore, as the rule d^2y/dx^2 >0 is because the gradient is now increasing from its stationary point which tells us that the point is a minimum and vise versa with the max

JustBaileey
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When any number is rooted to an even number is it always plus or minus? what about when rooted to an odd number?

edwarda.
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That is alot of working for one question.

hind