The function f(r) = sinh(r) is one-to-one and so is invertible. Using our rule / formula for relating the derivative of an inverse to the derivative of the original function, find the slope of the line tangent to the graph of y =f(z) = arcsinh(z) when r = 0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The function f(x) = sinh(r) is one-to-one and so is invertible. Using our rule / formula for relating
the derivative of an inverse to the derivative of the original function, find the slope of the line tangent to the graph of
y = f-(x) = arcsinh(r) when r = 0.
Transcribed Image Text:The function f(x) = sinh(r) is one-to-one and so is invertible. Using our rule / formula for relating the derivative of an inverse to the derivative of the original function, find the slope of the line tangent to the graph of y = f-(x) = arcsinh(r) when r = 0.
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