Test 1 Differentiation

1.   The function y = x³ + ax² – 7x -1 has a stationary value where x = 1. Find the value of a. Find the other stationary points and the nature of these points?

Question 1          When you see find the value of a, what must you expect

Question 2          What does stationary means?

Question 3          What is the bread for this stationary value

Question 4          Differentiate y

Question 5          What is the linear equation

Question 6                    What is the maximum number of possible stationary points

Question 7          How would you find the other stationary point(s)

Question 8          What is meant by the nature of the points

Question 9          How you do find the nature of the stationary points

Question 10       Find the nature of all stationary points

Calculate the gradient of the curve y = x - 4

                                                                      x - 1

 at the point where it crosses the x- axis

Question 1

What happens when a point crosses the x-axis

Question 2

When you see the word Gradient, what should you look for

Question 3

Differentiate y

Question 4

Find the required gradient