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

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

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

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

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derivative of

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

- 5 sin (5) e^{- 5 x}

Solution steps

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

Take the constant out:

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

= sin (5) \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

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

Simplify

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

x \to 0 lim (\frac{1}{x - 1})

\int \frac{1}{2 - y} d y

\int \frac{2}{( x - 1 )} d x

x \to 0 - lim (sin (2 x))

k = 0 \sum \infty - 5 (\frac{3}{2})^{k + 2}

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