What is the derivative of f(x)=-5e^{-5x+2} ?

The derivative of f(x)=-5e^{-5x+2} is 25e^{-5x+2}

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

The first derivative of f(x)=-5e^{-5x+2} is 25e^{-5x+2}

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derivative of

f (x) = - 5 e^{- 5 x + 2}

25 e^{- 5 x + 2}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

= 25 e^{- 5 x + 2}

What is the derivative of f(x)=-5e^{-5x+2} ?
The derivative of f(x)=-5e^{-5x+2} is 25e^{-5x+2}
What is the first derivative of f(x)=-5e^{-5x+2} ?
The first derivative of f(x)=-5e^{-5x+2} is 25e^{-5x+2}