is the function that satisfies the given conditions.
Steps
Step 1 :The problem is asking for a function such that its derivative is equal to and is equal to 0. This is a problem of finding the antiderivative (or integral) of a function, and then adjusting the constant of integration such that the function passes through the point (2, 0).
Step 2 :The antiderivative of is , where is the constant of integration.
Step 3 :We can find the value of by substituting and into the equation and solving for .
Step 4 :Substituting these values into the equation gives us , so .
Step 5 :Substituting back into the equation gives us the function .
Step 6 : is the function that satisfies the given conditions.