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Max/Min with derivatives Flashcards | StudBud

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Does this function have any absolute min or max values: f(x)= x^3 -3

Mathematical model for two numbers whose sum is 30 and whose product is as large as possible.

Max/Min with derivatives

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Calculus with derivatives and max/min problems

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Answers

1
Mathematical model for two numbers whose sum is 30 and whose product is as large as possible.
F(x)=(30x)2
F(x)=30x2÷2
F(x)=90x2-30x3+6x
F(x)=x(30-x)
2
Does this function have any absolute min or max values: f(x)= x^3 -3
No
It has at least 3 but they are imaginary
Yes at 0 a Max
Yes at 0 a min
3
What is the correct derivative for the volume function of f(x)=x³+2x²-3x-3
3x2+4x-3
X4-3x
What is a derivative?
3x4-3x2
4
Find the critical point(s) of this equation. F(x)=x²-2x
X=1
X=2
X=3
None
5
If marginal revenue=9 and marginal cost=3x²-12x+15, what production level maximizes profit?
X=1.234
X=What?
X=3.414
X=0.586