Find the derivative.
y = ecosh(7x)
y'(x) = _______
ANSWER :
y = e^(cosh (7x))
=> y ‘
= e^(cosh(7x)) * d/dx (cosh(7x)) *
= e^(cosh(7x)) * d/dx ((e^7x + e^(-7x)) / 2) [since, cosh(7x) = (e^7x + e^(-7x)) / 2 ]
= e^(cosh(7x)) * 7 (e^7x - e^(-7x))/2
= 7/2 e^(cosh(x) * sinh(7x) [since, sinh(7x) = (e^7x + e^(-7x)) / 2 ]
= 7/2 sinh(7x) * e^(cosh(7x) (ANSWER)
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