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
X + 3y = 14
x + 3(3x - 14) = 14
x + 9x - 42 = 14
10x - 42 = 14
<u> + 42 + 42</u>
<u>10x</u> = <u>56</u>
10 10
x = 5.6
5.6 + 3y = 14
<u>- 5.6 - 5.6</u>
<u>3y</u> = <u>8.4</u>
3 3
y = 2.7
(x, y) = (2.7, 5.6)
Answer:
20+2y
Step-by-step explanation:
20 pounds more would be an addition of 20 and twice would have to be represented by 2y because it is double John's weight y.
The number of books she would have completed in one day will be 2 books.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Emily completed reading 24/3 books in 32/4 days
Emily completed 8 books in 4 days. The number of the books will be calculated by using the expression below:-
4 days = 8 books
1 day = 8 / 4 = 2 books
Therefore the number of books she would have completed in one day will be 2 books.
To know more about expression follow
brainly.com/question/723406
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