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Given the function y=(x+1)(x-2)^2 find i) dy/dx ii) Stationary points and determine their nature

Here we have a function made from the product of two functions, so we canuse the product differenciation rule. y=uv => dy/dx=udv/dx + vdu/dx Therefore dy/dy=(x-2)^2 + 2(x-2)(x+1) Stationary points occur w...
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Answered by Russell B. • Maths tutor
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Describe the structure of human DNA (4 marks)

- 2 strands: Intertwine to form a double-helix structure Phosphodiester bonds between between phosphate group and pentose sugar of nucleotides - 4 Bases: Cytosine, Guanine, Adenine, Thymine. Complementary ba...
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Answered by Christos C. • Biology tutor
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How do I write a good introduction?

Your introduction is the cog that gets the others turning in your essay. An introduction to any essay should primarily outline the argument or points that you will make in your essay, while remaining clear a...
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Which of Na+ and Mg2+ is the smaller ion. Explain your answer. (2 marks)

Mg2+ is the smaller ion. (1 mark) Mg2+ has a larger nuclear charge than Na+ and has the same number of electrons. (1 mark) Further explaination: Magnesium is further along the period than sodium is which mea...
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Answered by Joseph H. • Chemistry tutor
9447 Views

Find the general solution to the differential equation '' (x^2 + 3x - 1) dy/dx = (2x + 3)y ''

Now although this might seem like quite a complex question at first, it's a little less intimidating when we take a while to look at it- you might notice that we can seperate x and y terms like so: 1/y dy = ...
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Answered by Sam T. • Maths tutor
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