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For the curve y = 2x^2+4x+5, find the co-ordinates of the stationary point and determine whether it is a minimum or maximum point.

Stationary points occurs when the gradient of the graph is equal to 0, i.e. dy/dx = 0. Differentiate y with respect to x to get dy/dx = 4x + 4.So making 4x + 4 = 0 gives x = -1. Substituting this into the...

OB
Answered by Owen B. Maths tutor
5333 Views

Find the x co-ordinate of stationary point of the graph y=5x^3 +3x

When you differentiate the function that gives the gradient. Therefore differentiate to get dy/dx= 15x^2 + 3. Make this equal to 0 to get 15x^2 + 3=0 and rearrange to get the value of x as required so 15x...

VJ
Answered by Vinay J. Maths tutor
3508 Views

How do I analyse the setting in a novel?

In order to analyse the setting in a novel, one must pay extra careful attention to the emotional and descriptive detail used by the author. For instance, if the author writes 'the wind h...

MD
3895 Views

Integrate ln(x)

Our A-level knowledge does not give us any identities to be able to integrate this from memory. But what we do have from memory is that the derivative of ln(x) is 1/x. Why would this help us? Let's take a...

JE
Answered by James E. Maths tutor
3209 Views

How might I structure an essay in which I compare two texts?

A clear, well-thought-out essay structure is just as important as the content of your essay! Not only does it make it easier to write the essay, but it also makes your ideas easier to follow for your exam...

JD
3610 Views

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