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Popular >

derivative of e^{-2x}+1/3 e^x

Solution

derivative of

e^{- 2 x} + \frac{1}{3} e^{x}

Solution

- 2 e^{- 2 x} + \frac{1}{3} e^{x}

Solution steps

\frac{d}{d x} (e^{- 2 x} + \frac{1}{3} e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{- 2 x}) + \frac{d}{d x} (\frac{1}{3} e^{x})

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

\frac{d}{d x} (\frac{1}{3} e^{x}) = \frac{1}{3} e^{x}

= - 2 e^{- 2 x} + \frac{1}{3} e^{x}

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\frac{1}{5 s + 1}

integral of*10^{-3}+*10^{-5}t+*10^{-8}t^2+*10^{-12}t^3

\int \cdot 1 0^{- 3} + \cdot 1 0^{- 5} t + \cdot 1 0^{- 8} t^{2} + \cdot 1 0^{- 12} t^{3} d t

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\int (9 x^{2} + 25) (\frac{7 x - 4}{x ^{2}}) d x

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\frac{d}{d x} (e^{5 x} + 5 e^{5 x} x)

Frequently Asked Questions (FAQ)

What is the derivative of e^{-2x}+1/3 e^x ?
The derivative of e^{-2x}+1/3 e^x is -2e^{-2x}+1/3 e^x
What is the first derivative of e^{-2x}+1/3 e^x ?
The first derivative of e^{-2x}+1/3 e^x is -2e^{-2x}+1/3 e^x