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Trava [24]
3 years ago
15

Find the derivative of f(x)= sqrt(12-x^6)

Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0

Answer:

-3x^5 /√(12 - x^6).

Step-by-step explanation:

f(x)= sqrt(12-x^6)

f(x) = ( 12 - x^6)^1/2

Using the Chain Rule:

f'(x) = 1/2(12 - x^6)^-1/2 * -6x^5

=  -6x^5 /  2(12 - x^6) ^ 1/2

= -6x^5 /2√(12 - x^6)

= -3x^5 /√(12 - x^6).

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Describe one difference between rewriting a literal equation and solving an equation in one variable.
sesenic [268]

Literal equation:

we know that

literal equation is equation of more one variable

for example: 2x+3y=1

And we can solve such equations only if we are given two such equation

because it has two variables

One variable equation:

such equation has single variables

for example:

3x=21

we don't need any other equation

we can solve for variables from single equation itself

because it has only one variable that is x

3 0
3 years ago
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{8}{2}

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0
3 years ago
What is 8.275 rounded to the nearest ounce?​
Crank

Answer:

8.0

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3(q−7)=27 need help plzz 1st peep gets brainlest
ANTONII [103]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>q = 16</em>

▹ Step-by-Step Explanation

3(q - 7) = 27

3q - 21 = 27

Add 21 to both sides:

21 + 21 = na

27 + 21 = 48

3q = 48

Divide both sides by 3:

3/3 = q

48/3 = 16

q = 16

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

8 0
3 years ago
Read 2 more answers
All of the following statements about learning are true EXCEPT __
Rasek [7]
Craming last minute can lead to unecessary confusion however most examinars dont allow asking questions during exam

So if asking questions for clarification is allowed. A) is the odd one out

And these options are rather for test taking than learning
3 0
3 years ago
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