Differentiation inverse of a hyperbolic function

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The discussion centers on finding the derivative of csc-1((1/2)^θ) with respect to θ. Participants suggest reviewing the differentiation formula for exponential functions and clarify the placement of the exponent θ. There is an emphasis on correctly formatting mathematical expressions in the forum. The need for clear communication regarding whether θ applies to the base or the function is highlighted. Understanding these concepts is crucial for solving the problem effectively.
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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
 
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Nemo's said:

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.
 

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