If f'(x)=3x(x - 1), find f(x)
Due to notation difficulties, S = integral sign. This is a straightforward integration question, firstly we expand the brackets:
f'(x)=3x^2 - 3x f(x)=S(3x^2 - 3x)dx f(x)=3/3x^3 - 3/2x^2 + C f(x)=x^3 - 3/2x^2 + C
C is the constant of integration, the next part of the question would typically give the student a point through which this curve passes and then ask them to find the constant of integration.
GR
Related Maths A Level answers
All answers ▸A machine is used to manufacture custom spoilers for two types of sports car( Car A and Car B0. Each day, in a random order, n are produced for Car A and m for Car B. What is the probability that the m spoilers for Car B are produced consecutively?
A curve has equations: x=2sin(t) and y=1-cos(2t). Find dy/dx at the point where t=pi/6
Differentiate (3x^2-5x)/(4x^3+2x^2)
express x^2-4x+9 in the form (x-q)^2+y