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- How are the absolute maximum and minimum similar to and different from the local extrema?the value of x at which the FOC is satisfied give us the ........(maximum/minimum) of the function because the second derivative is ..........(positive/negative).Explain how the First Derivative Test determines whetherƒ(x) = x2 has a local maximum or local minimum at the critical point x = 0.
- Solve for partial derivative of "w" with respect to "t" instead of partial derivative of "z"Given a right circular cone with an altitude of 5 cm and a base diameter of 8 cm. If the diameter is increased by 0.04 cm and the altitude is likewise increased by 0.03 cm, find the approximate increase in volume. Use partial derivative for your detailed solution.Please help solve the partial derivative with respect to x, and the partial derivative with respect to y for the following functions.