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When finding the maximum or minimum of an equation, make sure you rearrange an equation to make y the subject of the equation i.e. y=_________. You can then differentiate with respect to x and then set th...
Firstly we must lay out our double angle formulas which are required for this question: cos(2A) = 1-2sin^2(A) = 2cos^2(A)-1 sin(2A) = 2sin(A)cos(A) Working from LHS: (1-cos(2A))/sin(2A) Focusing on the...
Laws of logs tells us that ln(a) - ln(b) = ln(a/b)
Therefore ln(10)-ln(5) = ln(10/5) = ln(2)
when differentiating, we multiply the power by the coefficient and then take the power away by 1 so : y= 4x^3 + 3x^2 -5x +1 then 4 x 3= 12 and 3-1 = 2 meaning the solution is 12x^2. 2 x 3 = 6 and 2-1 = 1 ...
Taking the log of both sides we get 5x * ln2 = (2x+1) * ln3. Taking everything that contains x to the left side: x * (5ln2 - 2ln3) = ln3. Therefore x=ln3/(5ln2 - 2ln3) ...
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