What is the d/(dt)(0.0225te^{-0.0467t}) ?

The d/(dt)(0.0225te^{-0.0467t}) is 0.0225(e^{-0.0467t}-0.0467e^{-0.0467t}t)

What is the first d/(dt)(0.0225te^{-0.0467t}) ?

The first d/(dt)(0.0225te^{-0.0467t}) is 0.0225(e^{-0.0467t}-0.0467e^{-0.0467t}t)

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Popular >

\frac{d}{d t} (0.0225 t e^{- 0.0467 t})

0.0225 (e^{- 0.0467 t} - 0.0467 e^{- 0.0467 t} t)

Solution steps

\frac{d}{d t} (0.0225 t e^{- 0.0467 t})

Take the constant out:

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

= 0.0225 \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}

= 0.0225 (\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}

= 0.0225 (1 \cdot e^{- 0.0467 t} + (- 0.0467 e^{- 0.0467 t}) t)

Simplify

= 0.0225 (e^{- 0.0467 t} - 0.0467 e^{- 0.0467 t} t)

\int \frac{x}{9 - 64 x ^{2}} d x

\int_{0}^{16} 1 + 3 x d x

\frac{d}{d x} (ln (x + y - 1))

x^{2} (\frac{d y}{d x}) = y - y x

y = x^{2} - 6 x, (5, - 5)

What is the d/(dt)(0.0225te^{-0.0467t}) ?
The d/(dt)(0.0225te^{-0.0467t}) is 0.0225(e^{-0.0467t}-0.0467e^{-0.0467t}t)
What is the first d/(dt)(0.0225te^{-0.0467t}) ?
The first d/(dt)(0.0225te^{-0.0467t}) is 0.0225(e^{-0.0467t}-0.0467e^{-0.0467t}t)