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To find the derivative, you look at each term and multiply the constant in front of the x by the power of x. Also you must lower the power of x by one after this step.
So 5x3 ...
Graph sketching can look like an intimidating process at times, but is easily broken down into a collection of fairly easy stages.
In summary:
Factoris...
You have to write it in terms of cos(2x) using the double angle formula. The same applies for intergrating cos^2(x), you again have to write it in terms of cos(2x) using the same double angle formula.<...
There are two approaches to rationalising a denominator depending on how the denominator appears.
First we deal with the simpler case where the surd term is the only term...
From the addition formula, we know that:
Rcos(x-c) = Rcos(x)sin(c)+Rsin(x)cos(c)
Therefore:
acos(x)+bsin(x) = Rcos(x)cos(c)+Rsin(x)sin(c)
If we e...
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