What is the d/(dt)(10000-9000e^{-0.3t}) ?

The d/(dt)(10000-9000e^{-0.3t}) is 2700e^{-0.3t}

What is the first d/(dt)(10000-9000e^{-0.3t}) ?

The first d/(dt)(10000-9000e^{-0.3t}) is 2700e^{-0.3t}

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\frac{d}{d t} (10000 - 9000 e^{- 0.3 t})

2700 e^{- 0.3 t}

Solution steps

\frac{d}{d t} (10000 - 9000 e^{- 0.3 t})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (10000) - \frac{d}{d t} (9000 e^{- 0.3 t})

\frac{d}{d t} (10000) = 0

\frac{d}{d t} (9000 e^{- 0.3 t}) = - 2700 e^{- 0.3 t}

= 0 - (- 2700 e^{- 0.3 t})

Simplify

= 2700 e^{- 0.3 t}

\int \frac{x - 1}{x ^{2} - x - 1} d x

\frac{\partial}{\partial y} (7 x y^{6})

3 x^{3} - 6 x^{2} + 4 x + 21

\int \frac{7 x + 3}{( x + 4 ) ( x - 1 )} d x

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

What is the d/(dt)(10000-9000e^{-0.3t}) ?
The d/(dt)(10000-9000e^{-0.3t}) is 2700e^{-0.3t}
What is the first d/(dt)(10000-9000e^{-0.3t}) ?
The first d/(dt)(10000-9000e^{-0.3t}) is 2700e^{-0.3t}