What is the slope of the function y=3x(squared)-9x+7 at x=2.
In order to find the slope of the given function, we firstly have to find its first order derivative. This derivative will give us the slope of the original function at every point. To find the derivative, we have to use the power rule. This means, that we have to multiply each exponent times the coefficient to get to the new coefficients and we have to subtract 1 from each of the exponents to obtain our new exponents. This will give us: y'=6x-9.
In order to find the slope of the original function at x=2, we have to plug 2 into our derivative function. This results in: y'=6(2)-9= 3
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