AS/A2
Pure 4
Pure 6
P5
Topic 3:
Differentiation
tanh x
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 = (e
x
-e
-x
)/(e
x
+e
-x
)
Summary
the gradient function for tanh x is sech
2
x
Based on free Java applets from
JavaMath