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Any constant (say k) can be rewritten as kx0 since x0=1. When you differentiate this, the 0 which is the power of the x term gets dragged to the front and is multiplied with the rest...
At the x-axis, y is always zero at any point. If you want to fnd out whether or not a graph reaches the x-axis, then substitute y=0 into the equation and find the value of x. If it solves, then we know it...
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)
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