6. DETAILS HARMATHAP12 9.3.035. Consider the function f(x) = x + x and the point (1,...
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6. DETAILS HARMATHAP12 9.3.035. Consider the function f(x) = x + x and the point (1, 2). (a) Find the slope of the tangent to the graph of f(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 of f(x) at the given point. (Let x be the independent variable and y be the dependent variable.) (d) Graph both f(x) and its tangent line (use a graphing utility). 4 y -4 -2 3 2 1 4 y 3 3 2 X X 2 4 -4 -2 2 4 X -6 -4 -2 2 4 6 6. DETAILS HARMATHAP12 9.3.035. Consider the function f(x) = x + x and the point (1, 2). (a) Find the slope of the tangent to the graph of f(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 of f(x) at the given point. (Let x be the independent variable and y be the dependent variable.) (d) Graph both f(x) and its tangent line (use a graphing utility). 4 y -4 -2 3 2 1 4 y 3 3 2 X X 2 4 -4 -2 2 4 X -6 -4 -2 2 4 6
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