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Notice that (sin(x))'= cos(x) and (x^2)' = 2x

We use the product rule to differentiate, by noticing the expression is a product. 

so (fxgx)' = f'xgx + fx*g'x

substituting in ...

Substitute y into 4y-2=3x

4(2x-7)-2=3x   ->   8x-28-2=3x     ->      8x-3x=28+2    ->   5x=30    ->    x=30/5    ->    x=6

subsitute x into y=2x-7

y=2(6)-7    ->    ...

The traditional conservative view of human nature is essentially pessimistic.  Conservatives believe humans are imperfect. This can be broken down into three distinct aspects. Firstly, humans are psycholo...

dy/dx = (4cos(2x) + 6sin(2x) + 2)/(2+cos(2x))²

In the United Kingdom, the three branches of government are the executive, the legislature and the judiciary. The executive is the central government, made up of the Prime Minister and their cabinet. The ...