Differentiation inverse of a hyperbolic function

[Nemo's]

Homework Statement

d/dθ csc-1(1/2)^θ = ?

Homework Equations

d/dx csc-1(x)

The Attempt at a Solution

I don't know how to deal with the exponent θ

 

[LCKurtz]

Homework Statement

d/dθ csc-1(1/2)^θ = ?

Homework Equations

d/dx csc-1(x)

The Attempt at a Solution

I don't know how to deal with the exponent θ

Start by looking up the formula for differentiating $a^x$ with respect to x. Also think about using the X² button for superscripts when you are typing in this forum. Also you need to make clear whether the power $\theta$ is on the 1/2 or the arc-cosecant.