Advanced Mathematics - Graphs of antiderivatives
Graphs of antiderivatives
Since f(x) is the gradient of F(x) there will be a family of graphs
possible for F(x), the only difference between them being a constant. For
example, if f(x) = 2 we know that F(x) has a constant gradient of 2. So
F(x) could be 2x or 2x + 3 or 2x - 7. F(x) = 2x + c, where c could be any
To determine the graph of F(x) you will need a point on the graph F(a) = b
or some other information to obtain a unique value for this constant.
The graphs of f(x) and it's antiderivative F(x) are shown on the left.
Where f(x) is a straight line graph with intercept at x = a and F(b) = c
Previous | Next
Log in to save your progress and obtain a certificate in Alison’s free Diploma in Mathematics online course
Sign up to save your progress and obtain a certificate in Alison’s free Diploma in Mathematics online course
Please enter you email address and we will mail you a link to reset your password.