What is the derivative of-5e^{-x}+30e^{-5x} ?

The derivative of-5e^{-x}+30e^{-5x} is 5e^{-x}-150e^{-5x}

What is the first derivative of-5e^{-x}+30e^{-5x} ?

The first derivative of-5e^{-x}+30e^{-5x} is 5e^{-x}-150e^{-5x}

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derivative of

- 5 e^{- x} + 30 e^{- 5 x}

5 e^{- x} - 150 e^{- 5 x}

Solution steps

\frac{d}{d x} (- 5 e^{- x} + 30 e^{- 5 x})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (5 e^{- x}) + \frac{d}{d x} (30 e^{- 5 x})

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

\frac{d}{d x} (30 e^{- 5 x}) = - 150 e^{- 5 x}

= - (- 5 e^{- x}) - 150 e^{- 5 x}

Simplify

= 5 e^{- x} - 150 e^{- 5 x}

\int \frac{1 - 3 t}{t ^{2}} d t

f (x) = \frac{4 x ^{2} - 7 x + 5}{2 x + 3}

f (x) = 15 e^{x^{2}}

f (x) = 3 x^{2} + 12

\frac{d}{d x} (\frac{1}{x + \frac{1}{x + 1}})

What is the derivative of-5e^{-x}+30e^{-5x} ?
The derivative of-5e^{-x}+30e^{-5x} is 5e^{-x}-150e^{-5x}
What is the first derivative of-5e^{-x}+30e^{-5x} ?
The first derivative of-5e^{-x}+30e^{-5x} is 5e^{-x}-150e^{-5x}