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If y = 5x^3 - 2x^2 + 2, what is dy/dx?

Differentiation can be done term-by-term, so we can treat the 5x 3 , -2x 2 and 2 separately. We can also 'take out' the coefficients: to differentiate 5x 3 , for example, differentiate x 3 first and then mul...
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Answered by Alex K. • Maths tutor
9743 Views

Rationalise the complex fraction: (8 + 6i)/(6 - 2i)

The problem with this fraction is the "i" on the denominator, it is not rational. To rationalise this fraction we use the complex conjugate . This sounds more complicated than it is. If a + ib is a...
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Answered by Harry C. • Maths tutor
10765 Views

Find the maximum or minimum value of the function: y = 6x^2 + 4x + 2

The easiest way to solve this problem is by using differentiation . dy/dx = (6x^2 + 4x + 2)/dx dy/dx = 6 2 x^1 + 4 1 x^0 + 0 dy/dx = 12x + 4 When you set the derivative equal to zero you find a point on the ...
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Answered by Harry C. • Maths tutor
11513 Views

What's the difference between a histogram and a bar chart?

A bar-chart is a graph where the height of the bar measures the frequency of a particular category which that bar represents. For a histogram, however, the height is the frequency density. This means that th...
CM
Answered by Colm M. • Maths tutor
12930 Views

What are "x" and "y" and why are they used?

The letters "x" and "y", or any other similar letter in an equation, are examples of unknown variables . What this means is that we don't know their value, and often the aim of the game i...
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Answered by Colm M. • Maths tutor
8568 Views