How to sketch a cubic function
- 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 ▸Differentiate the function X^4 - (20/3)X^3 + 2X^2 + 7. Find the stationary points and classify.
dx/dt = -5x/2, t>=0. Given that x=60 when t=0, solve the differential equation, giving x in terms of t.
Differentiate and then integrate: x^2 + 3x
Using Integration by Parts, find the indefinite integral of ln(x), and hence show that the integral of ln(x) between 2 and 4 is ln(a) - b where a and b are to be found