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Paha777 [63]
3 years ago
9

Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.

Mathematics
1 answer:
ipn [44]3 years ago
3 0
Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

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Round 75.6475.6475, point, 64 to the nearest ten
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Answer: nearest tenth is 49.0

Step-by-step explanation:

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2 years ago
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ivanzaharov [21]

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  y = 2

Step-by-step explanation:

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<em>Additional comment</em>

A horizontal line has equation y = constant. A vertical line has equation x = constant.

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What is the inverse of y=pi/2+sin x​
Alekssandra [29.7K]

Answer:

f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})

Step-by-step explanation:

The given function is

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x=\frac{\pi}{2}+\sin y

we now solve for y.

x-\frac{\pi}{2}=\sin y

Take the sine inverse of both sides to obtain;

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Hence the inverse of the given function is;

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where \frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1

6 0
3 years ago
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Four baskets contain scented soaps. The baskets contain 9, 9, 11, and 15 soaps. If the soaps are divided evenly among the basket
jeka94

Answer:

11

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5 0
3 years ago
The sum of a number b and 3 is greater than 8 and less then 12
snow_lady [41]
The sum of a number b and 3 is greater than 8 and less than 12 <span>=> b + 3 < 8
=> b + 3 > 12

</span> <span>Now, let’s combine this into an expression:
=> 8 < b+3 < 12
=>  (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 but less than 12.

</span>



4 0
3 years ago
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