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using the quotent ruledy/dx= (3(x^2+6)-3x(2x))/(x^2+6)^2dy/dx=3(x^2+6-2x^2)/(x^2+6)^2dy/dx=(18-3x^2)/(x^2+6)^2

My first thought when dealing with resultant forces is to try out the most common combinations: combined and opposite. In this case 10N + 4N = 14N and 10N - 4N = 6N. This tactic does rule out two of the a...

A control group allows us to have a base recording that we can compare our experimental group to. A control group and an experimental group are treated in the same way except for the variable that we are ...

To find dy/dx, we must use a combination of the Product Rule and the Chain Rule.
If we let 3x^2=u and (x+2)^6=v, the Product Rule tells us that (uv)' = uv'+vu'
u'=6x, but to find v' we need to u...

A matrix is a linear transformation between vector spaces. Often we want to think about linear maps from an n-dimensional vector space to itself. When the vector space that we're mapping to and f...