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Answer to Question #1712 in Calculus for vaish

Question #1712
Find the derivative. Simplify if possible.
f(t) = (sech(9e power t))2
Expert's answer
sech(z) = 2 (ez + e-z)-1;[sech(z)]' = - 2 (ez - e-z)/(ez + e-z)2 = - sech(z) tanh(z);
f'(t) = 2 [sech (9et)]' sech(9et) = - 2 [9et]' sech2 (9et) tanh(9et) = - 18 et sech2 (9et) tanh(9et)

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