What is the derivative of e^{-5x}+e^{2x} ?

The derivative of e^{-5x}+e^{2x} is -5e^{-5x}+e^{2x}*2

What is the first derivative of e^{-5x}+e^{2x} ?

The first derivative of e^{-5x}+e^{2x} is -5e^{-5x}+e^{2x}*2

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derivative of

e^{- 5 x} + e^{2 x}

- 5 e^{- 5 x} + e^{2 x} \cdot 2

Solution steps

\frac{d}{d x} (e^{- 5 x} + e^{2 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{- 5 x}) + \frac{d}{d x} (e^{2 x})

\frac{d}{d x} (e^{- 5 x}) = - 5 e^{- 5 x}

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

= - 5 e^{- 5 x} + e^{2 x} \cdot 2

x \to - 2 lim (x^{2} - x)

\frac{d}{d x} (x \cdot sin (x) + cos (x))

\frac{20}{s ^{2} + 10}

\int_{0}^{1} \frac{1}{1 + t ^{2}} d t

\int (3 + 2 cos (θ))^{2} d θ

What is the derivative of e^{-5x}+e^{2x} ?
The derivative of e^{-5x}+e^{2x} is -5e^{-5x}+e^{2x}*2
What is the first derivative of e^{-5x}+e^{2x} ?
The first derivative of e^{-5x}+e^{2x} is -5e^{-5x}+e^{2x}*2