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If x3 + 3x2 + 9x = 1, then the value of x3 + 3/x |
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Answer» -STEP explanation:There is, however, a local minimum.y=(x+1)3−12(x+1)+12 This has a local MAXIMUM for some x<−1 and a local minimum for some x>−1 .We can pin the VALUES down more precisely.y′=3(x+1)2−12 with stationary points where y′=0 , or 3(x+1)2=12 , or (x+1)=±2 ; it's easy to VERIFY that x=−3 is a local maximum and x=1 is a local minimum. For x=1 , y=−4 . |
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