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Ede4ka [16]
3 years ago
9

F(x) =

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

9514 1404 393

Answer:

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

Step-by-step explanation:

The applicable derivative formula is ...

  d(u/v) = (v·du -u·dv)/v²

__

  f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²

  f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

__

Similarly, the second derivative is the derivative of f'(x).

  f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴

  f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

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Lily's basketball team won 4/5 of their games. Lily scored points 2/3 of the games her team won. In waht fraction of her team's
igor_vitrenko [27]

\huge\fcolorbox{blue}{aqua}{Answer:}

════════════════════

Lily's basketball team won 4/5 of their games. Lily scored points 2/3 of the games her team won. In waht fraction of her team's winning games did Lily score points?

Answer: =D.\frac{5}{6}

Solution:

\frac{ 2  }{ 3  }   \div   \frac{ 4  }{ 5  }  =

\frac{2}{3}\times \left(\frac{5}{4}\right)

\frac{2\times 5}{3\times 4}

\frac{10}{12}

=\frac{5}{6}

I reduced the fraction \frac{10}{12} into the Lowest terms by doing extracting and cancelling out the 2

=\frac{5}{6}

So the answer is letter D.\frac{5}{6}

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Explanation:

#Carry on learning

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