What is the derivative of cosh(x-(2e^{(-0.3x)})) ?

The derivative of cosh(x-(2e^{(-0.3x)})) is sinh(x)+0.6e^{-0.3x}

What is the first derivative of cosh(x-(2e^{(-0.3x)})) ?

The first derivative of cosh(x-(2e^{(-0.3x)})) is sinh(x)+0.6e^{-0.3x}

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\frac{d}{d x} (cosh (x) - (2 e^{(- 0.3 x)}))

sinh (x) + 0.6 e^{- 0.3 x}

Solution steps

\frac{d}{d x} (cosh (x) - (2 e^{(- 0.3 x)}))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (cosh (x)) - \frac{d}{d x} (2 e^{- 0.3 x})

\frac{d}{d x} (cosh (x)) = sinh (x)

\frac{d}{d x} (2 e^{- 0.3 x}) = - 0.6 e^{- 0.3 x}

= sinh (x) - (- 0.6 e^{- 0.3 x})

Simplify

= sinh (x) + 0.6 e^{- 0.3 x}

What is the derivative of cosh(x-(2e^{(-0.3x)})) ?
The derivative of cosh(x-(2e^{(-0.3x)})) is sinh(x)+0.6e^{-0.3x}
What is the first derivative of cosh(x-(2e^{(-0.3x)})) ?
The first derivative of cosh(x-(2e^{(-0.3x)})) is sinh(x)+0.6e^{-0.3x}