answersLogoWhite

0


Best Answer

(1/2)x = 2-x = exp (ln 2-x) = exp( -x ln 2). Since d/dx exp(x) = exp(x), we can use the chain rule to find that:

d/dx (1/2)x = -(ln 2) exp(-x ln 2).

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
BeauBeau
You're doing better than you think!
Chat with Beau

Add your answer:

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

How do you get the derivative of a square root?

The square root of x = x to the power of a half


What is the derivative of x?

The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.


What is the first derivative of e raised to the power of x?

The first derivative of e to the x power is e to the power of x.


What is the derivative of e to the power of x?

The derivative of ex is ex


What is the derivative of x to the second power?

2x is the first derivative of x2.


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

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


What is the derivative of e to the power of -2 times x?

e^(-2x) * -2 The derivative of e^F(x) is e^F(x) times the derivative of F(x)


What is the derivative x to the second power?

2x


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 e to the power of 2lnx?

Your expression simplifies to just x^2 {with the restriction that x > 0}. The derivative of x^2 is 2*x


What is the derivative of x to the power of e?

e^[ln(x^2)]=x^2, so your question is really, "What is the derivative of x^2," to which the answer is 2x.


What is the derivative of 1 divided by x to the third power?

1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.