BMCC MathematicsMaple Lab Resource QuestionsIII. Exploring the DerivativeGiven Evaluate h'(1).Let Graph f(x) together with its tangent at.Calculate the derivative of the function and plot the function and its derivative on the same graph. Describe the relationship between the two graphs.Using the function: ,a) Find the equation of the line tangent to the graph of f(x) when x=3.b) Plot both the function and the tangent line in the same window.c) Use the solve command to find the x-coordinate of the point where the tangent line intersects the x -axis.d) The tangent line interests the graph of f(x) at exactly one point other than the point of tangency. Make sure that you adjust your window in question.Suppose.a) Find the derivative of f(x) at the point P using the definition of a derivative.b) Using the results in part a, find an equation of the tangent line to the graph of f(x) at the point.c) Display the graph of f(x) and the tangent line of the same coordinate system. Do it using a maple lab, and show your work