What is the derivative of e^{-x}+x/3 ?

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

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

The first derivative of e^{-x}+x/3 is -e^{-x}+1/3

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to \infty lim (∣ x ∣)

\int \frac{1}{( 3 x + 4 ) ( 4 x - 1 )} d x

\frac{d}{d x} (4 x^{5} - 3 x^{4} + 2 x^{3} - x + 100)

(1 - x) d y - y^{2} d x = 0

\int \frac{32 x ^{2}}{( x - 24 ) ( x + 8 ) ^{2}} d x

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