What is the d/(dt)(0.00225te^{-0.0467t}) ?

The d/(dt)(0.00225te^{-0.0467t}) is 0.00225(e^{-0.0467t}-0.0467e^{-0.0467t}t)

What is the first d/(dt)(0.00225te^{-0.0467t}) ?

The first d/(dt)(0.00225te^{-0.0467t}) is 0.00225(e^{-0.0467t}-0.0467e^{-0.0467t}t)

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Popular >

\frac{d}{d t} (0.00225 t e^{- 0.0467 t})

0.00225 (e^{- 0.0467 t} - 0.0467 e^{- 0.0467 t} t)

Solution steps

\frac{d}{d t} (0.00225 t e^{- 0.0467 t})

Take the constant out:

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

= 0.00225 \frac{d}{d t} (t e^{- 0.0467 t})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t, g = e^{- 0.0467 t}

= 0.00225 (\frac{d t}{d t} e^{- 0.0467 t} + \frac{d}{d t} (e^{- 0.0467 t}) t)

\frac{d t}{d t} = 1

\frac{d}{d t} (e^{- 0.0467 t}) = - 0.0467 e^{- 0.0467 t}

= 0.00225 (1 \cdot e^{- 0.0467 t} + (- 0.0467 e^{- 0.0467 t}) t)

Simplify

= 0.00225 (e^{- 0.0467 t} - 0.0467 e^{- 0.0467 t} t)

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\frac{d}{d x} ((x^{5} - 7)^{2})

What is the d/(dt)(0.00225te^{-0.0467t}) ?
The d/(dt)(0.00225te^{-0.0467t}) is 0.00225(e^{-0.0467t}-0.0467e^{-0.0467t}t)
What is the first d/(dt)(0.00225te^{-0.0467t}) ?
The first d/(dt)(0.00225te^{-0.0467t}) is 0.00225(e^{-0.0467t}-0.0467e^{-0.0467t}t)