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Popular >

derivative of (e^x+e^{-x}/7)

Solution

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{7})

Solution

\frac{1}{7} (e^{x} - e^{- x})

Solution steps

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{7})

Take the constant out:

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

= \frac{1}{7} \frac{d}{d x} (e^{x} + e^{- x})

Apply the Sum/Difference Rule:

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

= \frac{1}{7} (\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}{7} (e^{x} - e^{- x})

Popular Examples

inverse oflaplace (3(s+1)*e^{-2s})/(s(s+1)(2s+1))inverse laplace

\frac{3 ( s + 1 ) \cdot e ^{- 2 s}}{s ( s + 1 ) ( 2 s + 1 )}

derivative of (2x+1)/(2x-1)derivative of

\frac{2 x + 1}{2 x - 1}

integral of t-2

\int t - 2 d t

integral of 1/((x^2+r^2)^{3/2)}

\int \frac{1}{( x ^{2} + r ^{2} ) ^{\frac{3}{2}}} d x

inverse oflaplace (e^{-3s})/(s+3)inverse laplace

\frac{e ^{- 3 s}}{s + 3}

Frequently Asked Questions (FAQ)

What is the derivative of (e^x+e^{-x}/7) ?
The derivative of (e^x+e^{-x}/7) is 1/7 (e^x-e^{-x})
What is the first derivative of (e^x+e^{-x}/7) ?
The first derivative of (e^x+e^{-x}/7) is 1/7 (e^x-e^{-x})