Leaving Cert Higher Level Maths 2021 Question 6

Question 6 from the leaving cert higher level maths paper 1 2021 is a calculus question. In part a we simply need to verify that a graph is the derivative of a function by finding the roots and the y intercept. In part b we find the maximum slope of the function and in part c we use integration to find the original function.

[LearnwithAI]

Could you use -b formula for (a) to show the roots or do u have to factorise?

[jessicac]

But it says the graph is h'(x) so would the max not be the derivative of h'(x)?? Therefore h''(x)?