Section 3-8 : Derivatives of Hyperbolic Functions For each of the following problems differentiate the given function. f (x) = sinh(x)+2cosh(x)−sech(x) f ( x) = sinh ( x) + 2
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A series of free Calculus Videos. How to Integrate Hyperbolic Functions? The following diagrams show the integrals of exponential functions. Scroll down the page for more examples and solutions on how to integrate exponential and
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The point (cos (t), sin (t)) is on the unit circle x 2 + y 2 = 1. The point (cosh (t), sinh (t)) is on the hyperbola x 2 - y 2 = 1. Graphs of hyperbolic functions: f (x) = sinh (x), f (x) = csch (x), f (x) = cosh (x), f (x) = sech (x), f (x) = tanh (x), f (x) = coth
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The 6 basic hyperbolic functions are defined by: Example 1: Evaluate the integral ∫ sech 2 (x)dx. Solution: We know that the derivative of tanh(x) is sech 2 (x), so the integral of sech 2 (x) is
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