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Take any polynomial, eg/ y=x 3 + 1 / 2 x 2 -3x+9. Then dy / dx =3x , +x-3, in this case. This is because, when deriving in this sense, you take each term in x, multiply it by its index, and reduce that index...

The claim that tolerance is important to liberals is not controversial. Voltaire famously declared that “I detest what you say, but will defend to the death your right to say it”. This reflects the idea that...

Take any quadratic equation, eg/ 3x 2 +4x-2=5 , and rearrange to equal 0 , ie/ 3x 2 +4x-7=0 (if you have an expression, ie/ there is no equals sign, then simply equate the expression to 0 ). Now, we use the ...

If body temperature is too high: Capillaries dilate, increasing the blood supply to the skin and allowing heat to be lost from the body by radiation. If body temperature is too low: Capillaries constrict, re...

For this explanation we will use the following example from a 2013 exam paper: If u 1 = 2 and u n+1 =(5u n -3)/(3u n -1), then prove that u n =(3n+1)/(3n-1) for all n>=1 The first step of any proof by ind...