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

A human geographer would most likely study
Compare the decimals 356.72 and 356.27. Which decimal has the greater value? a. 356.72 b. 356.27 c. They are equal.
What is the simplified form of the following expression? 6c2+2.5d-d+2c2-3s a. 4c2-1.5d b. 6c2+0.5d c. 8c2-1.5d d. 8c2+1.5d
A car accelerates from rest at -3.00m/s^2. What is the velocity at the end of 5.0s? What is the displacement after5.0s?
what's the shifting of landmasses due to movement beneath the earths crust
6.8-4.2b=5.6b-3 what is the answer to the question right there where I just wrote it at?
What's 132,654 rounded to the nearest thousand
Imagine that an exchange student from China visits your class. While your teacher discusses how the United States has a limited government, the Chinese student
jerome bought a sweater that was on sale for 20 percent off. jerome paid $25.10 for the sweater, including sales tax of 8.25 percent.
A map that shows a larger area than the main map