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F (x)=x^3-7x^2-24x+18 Sketch the graph of the gradient function y=f'(x). Use algebraic methods to determine any points where the graph cuts the coordinate axes and mark these on the graph. Use calculus, find the coordinates of any turning points on the graph. I don't know how to answer this question. Please help!?

1 answers
John ParryUCL pure mathematics student & experienced tutor17.5k students helped

Cuts the x-axis at x ={-3, 5+sqrt(19), 5-sqrt(19)} Turning points occur at x={-4/3, 6} Found by setting f’(x)=0 (taking the first derivative and setting =0 gives turning points)