The graph of $$f\ $$ , the derivative of a function $$f$$ , is shown. Which of the following statements is/are true?

$$f$$ has a local maximum at $$x=0$$

$$f$$ is increasing for $$-1\le x\le1$$

$$f$$ is decreasing for $$-2\le x\le0$$

$$f$$ is not differentiable at $$x=-1$$ and $$x=1$$

The graph of $$f\ $$ , the derivative of the function $$f$$ is shown for $$0 Which of the following statements is true for $$0

$$f$$ has one relative minimum and two relative maxima

$$f$$ has two relative minima and one relative maximum

$$f$$ has two relative minima and two relative maxima

$$f$$ has three relative minima and two relative maxima

The acceleration, in meters per second per second, of a race car is modeled by $$A\left(t\right)=t^3-\frac{15}{2}t^2+12t+10$$ , where $$t$$ is measured in seconds. What is the car's maximum acceleration on the time interval $$0\le t\le6$$ ?

The maximum acceleration of the race car is 28 meters per second per second and occurs at $$t=6$$ seconds.

The maximum acceleration of the race car is 2 meters per second per second and occurs at $$t=4$$ seconds.

The maximum acceleration of the race car is 6 meters per second per second and occurs at $$t=28$$ seconds.

The maximum acceleration of the race car is 15.5 meters per second per second and occurs at $$t=1$$ seconds.

AP Calculus AB Unit 5 Review

Authored by Michelle Bordelon

Mathematics

12th Grade

CCSS covered

Used 22+ times

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