Hyperbolic inverse derivative!?

find y’

g(x) = (2x-1)^3 (cosh4x)

y = e^ln(x^1/2) (coslnx^2)

h(x) = arctan(sinhx)

y = arc tanh(e^-x)

y = arcsech(tanh e^x)

please show your solution thanks!

✅ Answers

  • Answerer 1

    The derivatives and integrals of hyperbolic functions and inverse hyperbolic functions are very similar to those of trigonometric and inverse trigonometric functions, just with a difference of a negative sign somewhere within the formulas. There is no rule that we can tell where the minus sign has changed, so this section requires a lot of memory work.

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