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Use the four-step process to find the slope of the tangent line to the graph of the given function at anyr point. f(x} = 3x2
Use the four-step process to find the slope of the tangent line to the graph of the given function at anyr point. f(x} = 3x2 + 2x The slope of the tangent iine at any point on the graph of x) 2 3x2 + Ex is given by the derivative of fat x. To nd the derivative of the given function, we will use the four step process. Step 1: Compute x + h} and expand the expression. f0!) = 3x2 + 2x f(x+ h) = 3{x+ h}2 + 2(x+ h} =3(x2+(|:|)xh+h2)+2[x+h) =3x2+(|:|)xh+3h2+2x+2h None of the terms in the expanded expression can be combined. Therefore, x + h} is as foilows. We note that it is not required to expand and simplify the result, but doing so will make the upcoming steps easier to complete. f(x + h) =
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