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
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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
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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
Answer:
(x+6)(y+3)
Step-by-step explanation:
- xy + 3x + 6y + 18
- x(y + 3) + 6(y+3)
- <u>(</u><u>x</u><u>+</u><u>6</u><u>)</u><u>(</u><u>y</u><u>+</u><u>3</u><u>)</u>
Answer:
Mean: 6.8
Median: 2
Mode: There is no mode of the data set
Step-by-step explanation:
Finding the mean: 5+8+2+9+10= 34 divided by the numbers of the data set which is 5= 6.8
Finding the median: The middle of the data set which is 2
Finding the mode: the most frequently occurring number which doesn't appear in this data set which means there is none.
We are given the bounds of x so after calculation
144 is the answer
Vectors and scalars are not the same quantity
