Find The Maximum/Minimum Value Z=5x+4y - Mathway

Enter a problem... Calculus Examples Popular Problems Calculus Find the Maximum/Minimum Value z=5x+4y Step 1Find the first derivative of the function.Tap for more steps...Step 1.1By the Sum Rule, the derivative of with respect to is .Step 1.2Evaluate .Tap for more steps...Step 1.2.1Since is constant with respect to , the derivative of with respect to is .Step 1.2.2Differentiate using the Power Rule which states that is where .Step 1.2.3Multiply by .Step 1.3Differentiate using the Constant Rule.Tap for more steps...Step 1.3.1Since is constant with respect to , the derivative of with respect to is .Step 1.3.2Add and .Step 2Since is constant with respect to , the derivative of with respect to is .Step 3To find the local maximum and minimum values of the function, set the derivative equal to and solve.Step 4Since there is no value of that makes the first derivative equal to , there are no local extrema.No Local ExtremaStep 5No Local ExtremaStep 6

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