What is the derivative of 10000-9000e^{-0.3t} ?

The derivative of 10000-9000e^{-0.3t} is 2700e^{-0.3t}

What is the first derivative of 10000-9000e^{-0.3t} ?

The first derivative of 10000-9000e^{-0.3t} is 2700e^{-0.3t}

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derivative of

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}

\frac{s}{( s - 1 ) ^{2}}

y = 2 x^{\frac{3}{2}}

\frac{\partial}{\partial x} (x^{2} y^{3} - 4 y)

\frac{d y}{d x}, 4 x y = 8

\int \frac{2}{x ^{3} - 5 x ^{2} + 3 x + 9} d x

What is the derivative of 10000-9000e^{-0.3t} ?
The derivative of 10000-9000e^{-0.3t} is 2700e^{-0.3t}
What is the first derivative of 10000-9000e^{-0.3t} ?
The first derivative of 10000-9000e^{-0.3t} is 2700e^{-0.3t}