Find The Absolute Max And Min Over The Interval F(x)=8-x - Mathway

Enter a problem... Calculus Examples Popular Problems Calculus Find the Absolute Max and Min over the Interval f(x)=8-x , (-3,5) , Step 1Find the critical points.Tap for more steps...Step 1.1Find the first derivative.Tap for more steps...Step 1.1.1Find the first derivative.Tap for more steps...Step 1.1.1.1Differentiate.Tap for more steps...Step 1.1.1.1.1By the Sum Rule, the derivative of with respect to is .Step 1.1.1.1.2Since is constant with respect to , the derivative of with respect to is .Step 1.1.1.2Evaluate .Tap for more steps...Step 1.1.1.2.1Since is constant with respect to , the derivative of with respect to is .Step 1.1.1.2.2Differentiate using the Power Rule which states that is where .Step 1.1.1.2.3Multiply by .Step 1.1.1.3Subtract from .Step 1.1.2The first derivative of with respect to is .Step 1.2Set the first derivative equal to then solve the equation .Tap for more steps...Step 1.2.1Set the first derivative equal to .Step 1.2.2Since , there are no solutions.No solutionNo solutionStep 1.3There are no values of in the domain of the original problem where the derivative is or undefined.No critical points foundNo critical points foundStep 2Since there is no value of that makes the first derivative equal to , there are no local extrema.No Local ExtremaStep 3Compare the values found for each value of in order to determine the absolute maximum and minimum over the given interval. The maximum will occur at the highest value and the minimum will occur at the lowest value.No absolute maximumNo absolute minimumStep 4

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