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P5 Topic 3: Differentiation
sinh x and cosh x backmore
Use your mouse to move the tangent line along the curves. Look at the gradient functions for sinh x and cosh x. What conclusions can you draw?

f(x) = sinh x = (ex-e-x)/2


f(x) =cosh x = (ex+e-x)/2

Summary

  • the gradient function for sinh x is cosh x
  • the gradient function for cosh x is sinh x
JavaMath interactive graphs Based on free Java applets from JavaMath