How to sketch a cubic function

  1. Determine intersections with the x and y axis, intersections at x axis occur when y=0 and intersections with the y axis occur when x=0.2) Differentiate function to find stationary points (by setting the differential to 0 as the gradient of the function at a stationary point=0) and the nature of the stationary points.3) Mark all of these points on your axes and sketch the function (depending on whether it is positive or negative).
AP

Related Maths A Level answers

All answers ▸

Find the first derivative of r=sin(theta+sqrt[theta+1]) with respect to theta.


Using the Trapezium rule with four ordinates (three strips), estimate to 4 significant figures the integral from 1 to 4 of (x^3+12)/4sqrt(x). Calculate the exact value of this integral, comparing it with your estimate. How could the estimate be improved?


integration by parts: x^-2lnx


What exactly IS differentiation?