Differentiate hyperbolic functions, Mathematics

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Differentiate following functions.

(a) f ( x ) = 2 x⁵ cosh x

(b) h (t ) = sinh t / t + 1

Solution

(a) f ′ ( x ) = 10x⁴ cosh x + 2x⁵ sinh x

(b) h′ (t ) = (t + 1) cosh t - sinh t /(t + 1)²

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