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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 5x3, -2x2 and 2 separately. We can also 'take out' the coefficients: to differentiate 5x3, for example, di...

AK
Answered by Alex K. Maths tutor
9223 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 co...

HC
Answered by Harry C. Maths tutor
10104 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 = 62x^1 + 41x^0 + 0

dy/d...

HC
Answered by Harry C. Maths tutor
11027 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, t...

CM
Answered by Colm M. Maths tutor
12306 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 v...

CM
Answered by Colm M. Maths tutor
7711 Views

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