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This equation has one function of x divided by another function of x, we therefore have to use the quotient rule and is written in the form f(x)/g(x).
The quotient rule is therefore
The first step would be to differentiate f(x) and g(x).
The numerator of this fraction would therefore be
To calculate the denominator you simply square g(x)
So the answer would be sin(x)-xcos(x)/sin2(x)see more
The position of equilibrium will shift to the right, favouring the forward reaction, to oppose the increase in temperature. Endothermic reactions absorb heat and therefore if the endothermic reaction is more prevalent heat will be absorbed and the temperature will decrease.
Mutations, which is a change in the base code of DNA, occur regularly and can have various affects on organisms. Some mutations may give the bacteria an advantage against an antibiotic, for example if the target site for the antibiotic was altered then the antibiotic may be less able to bind, so has less of an effect on the bacteria. This means the bacteria with this mutation have an advantage and natural selection occurs when an antibiotic is applied to the culture of bacteria so that the resistant bacteria survive and therefore can reproduce with less competition and pass on their antibiotic resistant mutation.see more