Final answer:
To find the points on the graph of f(x) where the slope of the tangent line is 0, we need to find the x-values where the derivative of f(x) is equal to 0.
Step-by-step explanation:
The slope of a tangent line represents the rate of change of a function at a specific point. To find the points on the graph of f(x) where the slope of the tangent line is 0, we need to find the x-values where the derivative of f(x) is equal to 0.
To do this, we can take the derivative of f(x) and set it equal to 0, then solve for x. The values of x that satisfy the equation will give us the points where the slope of the tangent line is 0.
For example, if f(x) = x^2, we can find the derivative f'(x) = 2x. Setting 2x = 0, we get x = 0. Therefore, the point on the graph where the slope of the tangent line is 0 is (0, 0).
The complete question is: Find all points on the graph of fx)-9x2-8x+3 where the slope of the tangent line is 0.