Question 5. Use the first derivative test to find and classify the relative extrema of x2 f (x) = You only need to find the x-values of the extrema. If the function does not have a relative minimum or maximum, write "None".

Find ?(?) if ?(0) = 4 and the slope of the tangent line is 4?3 + 2?.

Select the statement that is false about the difference quotient.   The difference quotient can be represented by f(x+h)−f(x)(x+h)−x or f(x+h)−f(x)h The difference quotient is a more general form of the average rate of change of a function on an interval h units long. The difference quotient describes the general behavior of a function over some interval h units long when the rate of change is not constant. As the value of h gets smaller and smaller, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)). As the value of h gets larger and larger, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)).