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Find the first and second order derivative of the function, F(x)= 3x^3 - 7 + 5x^2, and then identify the maximum or minimum points.

F(x)= 3x 3 - 7 + 5x 2 i) F'(x)= 3 3x 2 + 2 5x F'(x)= 9x 2 + 10x ii) F''(x)= 2*9x + 10 F''(x)= 18x + 10 iii) for maximum or minimum points (stationary points) F'(x)=0 9x 2 + 10x = 0 x * (9x + 10) = 0 x = 0 or...
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Answered by Iosif D. • Maths tutor
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What are Taylor series used for?

If you wanted to program a function into a computer, it knows how to calculate polynomials but not any function that you put into it. For example, it won't know what to calculate for sin(x), but it would kno...
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How do you structure a typical English Literature essay?

The key to getting top marks for your essay is ensuring that the structure is clear and consistent. For most essays, the structure would consist of a topic sentence/ point e.g. 'Shakespeare presents Iago as ...
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Explain the structure and the functions of the different parts of the heart

The heart plays important roles in supplying oxygen and removing toxic waste to/from our body. In basic concepts, the heart is made up of 4 chambers, two on the top and two at the bottom, the top are known a...
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Answered by Pei Fen Z. • Biology tutor
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Expand and simplify (2x+4)(x+2)

In order to expand this expression, we use what is known as the FOIL method. This stands for First, Outside, Inside and Last. First, we multiply the first term in each bracket by each other. 2x multiplied by...
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Answered by Erin D. • Maths tutor
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