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For a curve of gradient dy/dx = (2/(x^2))-x/4, determine a) d^2y/dx^2 b) the stationary point where y=5/2 c) whether this is a maximum or minmum point and d) the equation of the curve

a) Differentiating gives d 2 y/dx 2 =-4x -3 -1/4 b) Let dy/dx=0 and rearrange to find x=2 c) Inserting x=2 into d 2 y/dx 2 =-4x -3 -1/4 will show that d 2 y/dx 2 is smaller than zero so this is a maximum sta...
KM
Answered by Katie M. • Maths tutor
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How do you compare two things in French?

First, I would explain that what the student is referring to is known as a comparative . Then, I would explain what a comparative is ( an adjective or adverb used in a comparison between two things ), and ex...
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Answered by Izabela K. • French tutor
3747 Views

How does Euclid's algorithm give solutions to equations?

Euclid's algorithm is really useful to be able to, firstly, see if two numbers are co-prime, in other words to see if they share any common factors, but also to find solutions to equations. Say we have two i...
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Answered by Abby R. • Maths tutor
2317 Views

How can I write a good history essay?

With history essays it is important to have a clear structure, so introduction, main body and conclusion. It is always essential to plan an essay, to avoid repetition/confusion. The other aspect of it is tha...
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Answered by Matilda W. • History tutor
3224 Views

What did you learn from your work experience?

A lot of medical schools will ask in their interviews about your work experience. It is very easy to list out the experiences one had in your work experience, but you need to focus on one or two examples and...
LS
4081 Views