answersLogoWhite

0

What is the derivative of 1 over x?

Updated: 4/28/2022
User Avatar

Wiki User

14y ago

Best Answer

Derivative of 1/x

1/x = x-1

Take the derivative

(-1)x(-1-1) = -x-2 = 1/x2

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the derivative of 1 over x?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the derivative of one over x?

1/x = x-1d/dx(x-1) = -x-2 = -1/x2


What is the derivative of 2lnx?

The derivative of ln x is 1/x The derivative of 2ln x is 2(1/x) = 2/x


Derivative of x 1?

the derivative of 1x would be 1 the derivative of x to the power of 1 would be 1. the derivative of x+1 would be 1 the derivative of x-1 would be 1 im not sure what you are asking, but however you put it, it's 1.


What is the Derivative of 500 ln x plus 1?

the derivative of ln x = x'/x; the derivative of 1 is 0 so the answer is 500(1/x)+0 = 500/x


What is the differentiation of sin x over 1 plus cosx?

The derivative is 1/(1 + cosx)


What is the derivative of 4 over x?

4/x can be written as 4x-1 (the power of negative 1 means it is the denominator of the fraction) 4*-1 = -4 Therefore, the derivative is -4x-2


What is the derivative of ln1 divided by x?

Given y=ln(1/x) y'=(1/(1/x))(-x-2)=(1/(1/x))(1/x2)=x/x2=1/x Use the chain rule. The derivative of ln(x) is 1/x. Instead of just "x" inside the natural log function, it's "1/x". Since the inside of the function is not x, the derivative must be multiplied by the derivative of the inside of the function. So it's 1/(1/x) [the derivative of the outside function, natural log] times -x-2=1/x2 [the derivative of the inside of the function, 1/x] This all simplifies to 1/x So the derivative of ln(1/x) is 1/x


What is the anti-derivative of x over 1?

X/1 is just X. so (1/2)X2 + C or X2/2 + C


What is the derivative for x to the power of 0?

x^0 = 1 for all x. The derivative of 1 is always zero.


Derivative of natural log?

Derivative of natural log x = 1/x


What is the derivative x?

1/x


What is the derivative of tan x?

The derivative of tan(x) is sec2(x).(Which is the same as 1/cos2(x).