1.Compute the second derivative of the following function.

f(y)=2y³-3y²+3y-17

Also, determine points where the second derivation is zero. Determine intervals on which the second derivative is positive of negative. That is, determine the intervals where the function is concave upward and concave downward. Finally, give the locations of all inflection points for the function.

2. Use the Mean Value Theorem to compute the average rate of change of the following function on the given interval. Then find a location where the derivative is the same as the mean value.

f(x)=x³-2x²

Use the interval [1,3]

Please explain the answer. Thank your very much.