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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 2co...

GM
Answered by Greg M. Maths tutor
10982 Views

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 ...

EH
Answered by Eleanor H. Maths tutor
5750 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 numbe...

DW
Answered by Daniel W. Maths tutor
5822 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 ab...

DC
Answered by Darren C. Maths tutor
3250 Views

Can you explain the product rule when differentiating?

When differentiating the product of two functions, we need to use the product rule. The theory of it is: (fg(x))'=f'(x)g(x) + f(x)g'(x). This explanation is-differentiate the first function and leave the ...

DC
Answered by Darren C. Maths tutor
3313 Views

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