Find a Stationary Point - Practice 1

5 questions0m 0s

Learn the skill

For a differentiable function, a stationary point has derivative zero. Solve that equation, then use additional information to decide whether the point is a maximum, minimum or neither.

Worked example

For f(x) = x^2 - 6x + 1, f prime = 2x - 6. It is zero at x = 3; the positive quadratic coefficient gives a minimum.

Question 1 For f(x) = x^2 - 2x + 7, at what x is the derivative zero? Answer

Question 2 For f(x) = x^2 - 4x + 7, at what x is the derivative zero? Answer

Question 3 For f(x) = x^2 - 6x + 7, at what x is the derivative zero? Answer

Question 4 For f(x) = x^2 - 8x + 7, at what x is the derivative zero? Answer

Question 5 For f(x) = x^2 - 10x + 7, at what x is the derivative zero? Answer