this question about the function, but need to use the Maxima program

this question about the function, but need to use the Maxima program

Use Maxima program

This question is about the function

f(x)=(x^3+6x^2-3x)/(x^2+1)

So, use maxima to do each of parts (a)-(d)

a) Plot the graph of (f), choosing ranges of values on the x- and y-axes to make its stationary points clearly visible.

b) Find the derivative of (f).

c) Calculate the x-and y-coordinates of the local maximum of (f), to three decimal places (you should round your answer to three decimal places yourself, instead of instructing Maxima to do it)

d) The graph of ( f )crosses the x-axis at x=0.calculate the value of x where the graph crosses the x-axis to the left of x=0.Find the area enclosed by the graph of f and the x-axis, between this value and x=0,to three decimal places(you should round your answer to three decimal places yourself, instead of instructing Maxima to do it)

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