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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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Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is:

Gonzales has $42.50

He wants to buy:

a shirt that costs $29

some bracelets that cost $4.50 each.

The equation that we need to solve is:

Total cost = money that Gonzales has.

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The equation that we need to solve is:

$29 + x*$4.50 = $42.50

to solve it we must isolate x:

x*$4.50 = $42.50 - $29 = $13.50

x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

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