What is the derivative of e^{-x}+e^{2x} ?

The derivative of e^{-x}+e^{2x} is -e^{-x}+e^{2x}*2

What is the first derivative of e^{-x}+e^{2x} ?

The first derivative of e^{-x}+e^{2x} is -e^{-x}+e^{2x}*2

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

- e^{- x} + e^{2 x} \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

= - e^{- x} + e^{2 x} \cdot 2

f (x) = 5 x - 4 x^{2}, (- 3, - 51)

\int_{0}^{1} x^{n} d x

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

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = 0

y^{^{''}} - 5 y^{^{'}} + 6 y = 0

What is the derivative of e^{-x}+e^{2x} ?
The derivative of e^{-x}+e^{2x} is -e^{-x}+e^{2x}*2
What is the first derivative of e^{-x}+e^{2x} ?
The first derivative of e^{-x}+e^{2x} is -e^{-x}+e^{2x}*2