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

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

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

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

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

- \frac{1}{4} e^{- x} + e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

f (x) = x x + 1

x \to 0 lim (\frac{7 ^{x} - 1}{x})

\int \frac{( 5 + x + x )}{x} d x

y^{^{''}} + y = 3 sec^{3} (t)

\int_{- 11}^{- 4} \frac{1}{x} d x

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