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What is Differentiation?

We use differentiation to generally find the rate of change for a function. This could also be interpreted as finding the gradient of a curve. e.g. y = x ^ 2. If you consider the curve, it has a different gr...
JP
Answered by Jigar P. Maths tutor
5409 Views

Differentiate the function y = cos(sin(2x))?

To differentiate this function you will need the chain rule - differentiating what's inside the brackets and multiplying it by differentiating what's outside the brackets. In this case sin(2x) goes to 2cos(2...
GM
Answered by Greg M. Maths tutor
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Solve the following simultaneous equations: 3x - y = 1, 2x + 2y = 2

When we are asked to solve simultaneous equations, what we are being asked to do is find the point where two lines cross. In this case, where we are given two straight lines, there will only be one point whe...
EH
Answered by Eleanor H. Maths tutor
6320 Views

Expanding a quadratic equation (x-3)(x-2)=0

Focus on the left hand side of the equation: (x-3)(x-2) These are two factors, basically that (x-3) is a number, and (x-2) is another number. (x-2)(x-3) is just showing that you're multiplying these numbers ...
DW
Answered by Daniel W. Maths tutor
6902 Views

When do I use Sin, Cos and Tan?

Just remember SOH,CAH,TOA. It sounds like Sock-A-Toe-Ah. Quite strange but extremely effective. SOH means Sin=Opposite/Hypotenuse Cos=Adjacent/Hypotenuse Tan=Opposite/Adjacent The three letters in each abbre...
DC
Answered by Darren C. Maths tutor
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