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

f(x) = tanh x = (ex-e-x)/(ex+e-x)

Summary

  • the gradient function for tanh x is sech2 x
JavaMath interactive graphs Based on free Java applets from JavaMath