Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
? y = x2 y = 
A. Since limx?1+ f '(x) = while limx?1- f '(x) = 2, f(x) is not differentiable at
B. Since limx?1+ f '(x) = while limx?1- f '(x) = 1, f(x) is not differentiable at
C. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = , f(x) is not differentiable at
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at
Answer: A
You might also like to view...
Solve the problem.The disk (x - 4)2 + y2 ? 9 is revolved about the y-axis to generate a torus. Find its volume. (Hint: =
?, since it is the area of a semicircle of radius 3.)
A. 36? B. 72?2 C. 18?2 D. 36?2
Solve.Steve drove 5 kilometers and cycled 381 meters. How many meters did he travel in total?
A. 381.005 m B. 5381 m C. 3815 m D. 38,105 m
For the given function, find the indicated function value.For g(x) = , find g(10).
A. 10 B. 9 C. 8 D. 11
Provide an appropriate response.Is the function given by f(x) = 42x + 3 continuous at x = 6? Why or why not?
A. Yes, f(x) = f(6)
B. No, f(x) does not exist