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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 scale size is 2cm:4m
MaRussiya [10]
I'm not sure which one is the scale size so i'll solve for both...

Ratio is 2cm:4m
0.02m:4m or 2cm:400cm also work as ratios

400cm/2cm=200 (so the scale is 200X smaller than the original)

Option 1::

If the scale of the item is:

l=12cm and w=6cm

then we can solve for the actual size by multiplying the values by 200

l=12cm*200=2400cm or 24m

w=6cm*200=1200cm or 12m

Option 2::

If the original item has a length of 12m and a width of 6m then:

l=12m and w=6m

We can find the scale length by dividing by 200

l=12m/200=.06m or 6cm

w=6m/200=0.03m or 3cm
6 0
3 years ago
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Find the area of the trapezoid. Round to the nearest hundredth.
Margaret [11]

Answer:

36.16

Step-by-step explanation:

A=a+b

2h=8.5+13.75

2·3.25=36.15625

3 0
2 years ago
X/a+y/a=1 solve for y
IRISSAK [1]
X/a=0.5
y/a=0.5
X+y/a
a=2
X=1
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4 0
3 years ago
I need help with multistep equations<br>​
Over [174]

Answer:

1 2/3 = m

Step-by-step explanation:

2/3 = m+3/5 -8/5

Combine terms

2/3 = m-5/5

2/3 = m -1

Add 1 to each side

2/3 +1 = m-1+1

2/3 +3/3 = m

5/3 = m

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4 0
3 years ago
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Figure A is a scale image of Figure B. What is the value of x?
rewona [7]

Answer:

x=30

Step-by-step explanation:

to find the value of x you have to find K(constant number).

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8 0
3 years ago
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