What is the derivative of f(x)=-3e^{-5x} ?

The derivative of f(x)=-3e^{-5x} is 15e^{-5x}

What is the first derivative of f(x)=-3e^{-5x} ?

The first derivative of f(x)=-3e^{-5x} is 15e^{-5x}

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derivative of

f (x) = - 3 e^{- 5 x}

15 e^{- 5 x}

Solution steps

\frac{d}{d x} (- 3 e^{- 5 x})

Take the constant out:

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

= - 3 \frac{d}{d x} (e^{- 5 x})

Apply the chain rule:

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

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

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

= - 3 e^{- 5 x} (- 5)

Simplify

= 15 e^{- 5 x}

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

cos^{9} (x)

x \to - 5 + lim (25 - x^{2})

y^{^{''}} + y = cos (3 t), y (0) = 1, y^{^{'}} (0) = 0

f (x) = 8 x

What is the derivative of f(x)=-3e^{-5x} ?
The derivative of f(x)=-3e^{-5x} is 15e^{-5x}
What is the first derivative of f(x)=-3e^{-5x} ?
The first derivative of f(x)=-3e^{-5x} is 15e^{-5x}