Question: 9.3/7 Consider the function f ( x ) = x 2 + x and the point(2,6). (a) Find the slope of the tangent to the

9.3/7

Consider the functionf(x) =x2+x

and the point(2,6).

(a) Find the slope of the tangent to the graph off(x) at any point.

(b) Find the slope of the tangent at the given point.

(c) Write the equation of the line tangent to the graph off(x) at the given point. (Letxbe the independent variable andybe the dependent variable.)

(d) Graph bothf(x) and its tangent line (use a graphing utility).

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