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MAVERICK [17]
3 years ago
8

Find the derivative of f(x) = -9/x at x = 6

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0
F(x)=-9/x which is equal to:

f(x)=-9x^(-1)  So the power rule for differentiation is used...

Power rule:  f(x)=x^e, df/dx=ex^(e-1) so:

df/dx=-9(-1)x^(-1-1)

df/dx=9x^(-2)  or if you prefer...

df/dx=9/x^2

df/dx(6)=9/36=1/4
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The task is in the attachment, thank you​
Novosadov [1.4K]

Answer:

m=0

Step-by-step explanation:

<em><u>mx²+2x-1=0</u></em>

if x=1/2 then

m(1/2)² +2(1/2)-1=0

m/4+1-1=0

m/4=0

m=0

4 0
3 years ago
Which of the following expressions is equivalent to the expression x - (-3) ?
ziro4ka [17]
D.
X+3
I attached a picture

6 0
2 years ago
Solve 20 - x/3 = x/2 , put the number only in the box.
Nikitich [7]

Answer:

<h2>x = 24</h2>

Step-by-step explanation:

20 -  \frac{x}{3}  =  \frac{x}{2}

Multiply through by the LCM that's 6 in order to eliminate the fraction

That's

6 \times 20 - 6 \times  \frac{x}{3}  = 6 \times  \frac{x}{2}  \\ 120 - 2x = 3x

Using the addition property add 2x to both sides of the equation

That's

3x + 2x = 120 + 2x - 2x \\ 5x = 120

<u>Divide both sides by 5</u>

\frac{5x}{5}  =  \frac{120}{5}

We have the final answer as

<h3>x = 24</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
Please Help Find the correct one and please show your work!!!
LekaFEV [45]

Answer:   c because it got 4  and going down equally i guess

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve the following system of liner equations:
nexus9112 [7]
First we get the value of y in terms of x

We have 2x + y + 9 = 0

We transpose 2x and 9 to the other side so we could get the value of y being:
y = - 2x - 9

Now that we have the value of y we can substitute it to the first equation
6x - 3y + 10 = 0
6x - 3 (-2x - 9) + 10 = 0
Simplifying the inside of the parentheses we would have
6x - (3)(-2x) - (3)(-9) + 10 =0
6x + 6x + 27 + 10 = 0

Combining similar terms we would get
12x + 37 = 0
We transpose 37 to the other side for easier simplification
12x = - 37
We divide both sides by 12 to get the value of x
12x/12 = - 37/12
Since 12/12 is equal to 1 our value of x would be
x = - 37/12
Or simply x = - 3.0833

Now that we know the value of x we can use it to obtain the value of y
y = - 2x - 9
y = - 2(-37/12) - 9
y = 37/6 - 9
y = - 17/6
Or in decimal y = - 2.8333

Final values of x and y would be
x = - 3.0833
y = - 2.8333
3 0
3 years ago
Read 2 more answers
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