Final answer:
To find the x coordinate of the stationary points, take the derivative of the function, set it equal to zero, solve for x, and plug the x values obtained into the original function to find the y values.
Step-by-step explanation:
Solution:
To find the x coordinate of the stationary points, we need to find the points where the derivative of the function is equal to zero.
Step 1:
Take the derivative of the function.
Step 2:
Set the derivative equal to zero and solve for x.
Step 3:
Plug the x values obtained in step 2 into the original function to find the y values.
Example:
Let's say the function is f(x) = x^2 - 4x + 3.
Step 1: Taking the derivative of the function, we get f'(x) = 2x - 4.
Step 2: Setting the derivative equal to zero, we get 2x - 4 = 0. Solving for x, we find x = 2.
Step 3: Plugging x = 2 into the original function, we get f(2) = (2)^2 - 4(2) + 3 = 3.
Therefore, the stationary point is (2, 3).