What is the derivative of (e^x+e^{-x})/4 ?

The derivative of (e^x+e^{-x})/4 is 1/4 (e^x-e^{-x})

What is the first derivative of (e^x+e^{-x})/4 ?

The first derivative of (e^x+e^{-x})/4 is 1/4 (e^x-e^{-x})

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derivative of

\frac{e ^{x} + e ^{- x}}{4}

\frac{1}{4} (e^{x} - e^{- x})

Solution steps

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{4} \frac{d}{d x} (e^{x} + e^{- x})

Apply the Sum/Difference Rule:

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

= \frac{1}{4} (\frac{d}{d x} (e^{x}) + \frac{d}{d x} (e^{- x}))

\frac{d}{d x} (e^{x}) = e^{x}

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

= \frac{1}{4} (e^{x} - e^{- x})

y^{^{'}} + 2 y = x y^{3}

f (x) = 9 x + 2

t \to 2 lim ((t + 2)^{\frac{3}{2}} (2 t + 4)^{\frac{1}{3}})

\int_{\frac{1}{7}}^{3} 16 x ln (7 x) d x

\int_{0}^{4} 17 d x

What is the derivative of (e^x+e^{-x})/4 ?
The derivative of (e^x+e^{-x})/4 is 1/4 (e^x-e^{-x})
What is the first derivative of (e^x+e^{-x})/4 ?
The first derivative of (e^x+e^{-x})/4 is 1/4 (e^x-e^{-x})