Derivative of y = 2x^(2π) in terms of π

[Jan Hill]

Homework Statement

y = 2x^2pi Give an exact answer in terms of pi

Homework Equations

The Attempt at a Solution

y' = 4pix^pi

Is this as far as I can go with this?

 

[tiny-tim]

y = 2x^2pi Give an exact answer in terms of pi
…
y' = 4pix^pi

Is this as far as I can go with this?

(have a pi: π and try using the X² icon just above the Reply box )

No, it's wrong …

why x^π ?

 

[HallsofIvy]

Do you know what the derivative of $x^n$ is?

Use that formula with $n= 2\pi$.

 

[mystmyst]

haha, is this the same HallsofIvy from MHF?

 

[Jan Hill]

I put pi because the exponent becomes 2pi - pi which equals pi

 

[tiny-tim]

I put pi because the exponent becomes 2pi - pi which equals pi

(what happened to that π i gave you? )

nooo … xⁿ becomes nx^n-1, with n = π

 

[howsockgothap]

Hmm I think you're all wrong. x^n becomes x^(n-1). you end up with 2pi -1, not 2pi-pi