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Please help, thank you!

Please help, thank you!-example-1
User Md Rafee
by
7.4k points

1 Answer

4 votes

Answer:


y=-(1)/(5) x+2

Explanation:

f(x) =
(5)/(x) ⇒ f(x) =
5x^{-1

Use the power rule to diferentiate:

f'(x) =
-5x^{-2

Plug in the value to differentiate at:

f'(5) =
-5(5)^{-2 =
-(1)/(5) =
m

Plug into the equation of the tangent line:


y-f(5)=f'(5)(x-5)


y=f'(5)(x-5)+f(5)


y=-(1)/(5) (x-5)+1


y=-(1)/(5) x+2

User Anjuman
by
8.2k points

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