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Find the derivative of f(x)=x³ sin(x).

To do this calculation we need to use the product rule of differentiation: if f(x)=u(x)v(x), then the derivative is f'(x)=u'(x)v(x)+u(x)v'(x). In o...

Every argument needs a strong, concise point to it. This must be a point that drives the momentum of your whole analysis. After that, every argument needs evidence, to back this point up and then finally ...

The smaller ion of the two would be Mg²⁺. Both ions have the same electronic arrangement so the amount of shielding occuring for both ions is the same. The key difference between the ions that ...

The best way to do this is prove your interest. Rather than simply saying that you are passionate, demonstrate it in a way which shows you have gone beyond what you would be expected to do in school. You ...

First of all we are asked to differentiate the function. This can be easily done by multiplying the coefficient of x by its exponent, and then decreasing the exponent by one. Therefore, dy/dx=3x^2+4x We a...