Consider the function f(x) = x³ + 3 and the point (1, 4).

Consider the function f(X) = x3 + 3 and the point (1, 4). (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). Y \f