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Nemo's
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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
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
A hyperbolic function is a type of mathematical function that is defined by the relationship between the exponential function and the inverse of the exponential function.
The inverse of a hyperbolic function is a function that "undoes" the original hyperbolic function. It takes the output of the original function and returns the input value.
Differentiation is a mathematical operation in calculus that is used to find the rate of change of a function. It involves calculating the slope of a curve at a specific point.
The process of finding the inverse of a hyperbolic function involves using differentiation to find the slope of the function at a specific point. This slope is then used to calculate the inverse function.
Some common hyperbolic functions include sinh(x), cosh(x), and tanh(x). Their inverses are arcsinh(x), arccosh(x), and arctanh(x), respectively.