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

The derivative of cosh((e^x+e^{-x}/2)) is sinh((e^x+e^{-x})/2) 1/2 (e^x-e^{-x})

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

The first derivative of cosh((e^x+e^{-x}/2)) is sinh((e^x+e^{-x})/2) 1/2 (e^x-e^{-x})

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Popular >

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

sinh (\frac{e ^{x} + e ^{- x}}{2}) \frac{1}{2} (e^{x} - e^{- x})

Solution steps

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

Apply the chain rule:

sinh (\frac{e ^{x} + e ^{- x}}{2}) \frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{2})

= sinh (\frac{e ^{x} + e ^{- x}}{2}) \frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{2})

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{2}) = \frac{1}{2} (e^{x} - e^{- x})

= sinh (\frac{e ^{x} + e ^{- x}}{2}) \frac{1}{2} (e^{x} - e^{- x})

\frac{d}{d x} (- 2 \cdot sin (2 x))

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\int_{- 4}^{5} 8 - y - \frac{( y - 2 ) ^{2}}{3} d y

\frac{d}{d x} (C x + C - C^{2})

What is the derivative of cosh((e^x+e^{-x}/2)) ?
The derivative of cosh((e^x+e^{-x}/2)) is sinh((e^x+e^{-x})/2) 1/2 (e^x-e^{-x})
What is the first derivative of cosh((e^x+e^{-x}/2)) ?
The first derivative of cosh((e^x+e^{-x}/2)) is sinh((e^x+e^{-x})/2) 1/2 (e^x-e^{-x})