2.1.5. Differentiation of the hyperbolic functions Formula: dx (sinhu) = coshu dx b) (cosh u) = sinhu du dx C) d dx (tanhu) = sechu du d) d - (cschu) = - csch u cothu dx e) (sechu) = - sech u tanh u dx f ) (cothu) = -cschu Example 1: Proof that -(sinh x) = coshx. Examples 2: Find a) y = tanh (1 -x2) b) y = In[sinh2 (x4) ] c) y2 = In (x coshy) (implicit differentiation)