Chapter 2: Differentiation
Section 2.9: The Hyperbolic Functions and Their Derivatives
Verify the differentiation rule for tanhx.
Similar to the approach taken in Section 2.6 for trig functions, express tanhx in terms of the hyperbolic sine and cosine; then differentiate. The details are as follows.
Note the use of the quotient rule to effect the differentiation on the right-hand side of the first equality.
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