danyal0112
danyal0112 danyal0112
  • 13-11-2019
  • Mathematics
contestada

How do we know that the derivative of 1/x is equal to -1/x^2 ?

Respuesta :

Claireoniomoregie
Claireoniomoregie Claireoniomoregie
  • 13-11-2019

Answer:the derivative of 1/x =-1/x^2

Step-by-step explanation:

1/x can also be written as x^-1

Therefore d/dx of x^-1

=-1*x^-1-1

=-1x^-2

Which can also be written as -1/x^2

Note: d/dx also means derivative of x

And d/dx (a/x^b) =(a*-b) /x^(b+1)

Where a and b represents a variable

Answer Link

Otras preguntas

How many nines does it take to make the same amount as 1/3
Use inductive reasoning to determine the units digit of the number 3 to the 58 power
What questions should be asked when evaluating a source? Check all that apply
Which is a result of seafloor spreading? A) magma piles up on top of the plates involved B) the plates involved are cracked on the surface C) earthquakes occur
when a candle burns which form of energy does the chemical energy in the candle change to​
In most states candidates defeated in the primary file as independent candidates after the primary election
How would I graph this inequality? [tex]7x+3y\ \textless \ 6-5x[/tex]
Help me with this question
Marriage and graduation can be stressful life events? True or False?
what is the main problem that Kyle faces at the beginning of the story