Let 4*.\ f(x) = t sin t²dt Find on what interval is f(x) decreasing. Find the second derivative f"(x).

Explain the relationship between the slope and the derivative of fx at x=a.

Determine whether each of the following statements is true or false and explain why. The derivative of a function exists whenever the function is continuous.

Determine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.