What is the derivative of 6/5-6/5 e^{-20t} ?

The derivative of 6/5-6/5 e^{-20t} is 24e^{-20t}

What is the first derivative of 6/5-6/5 e^{-20t} ?

The first derivative of 6/5-6/5 e^{-20t} is 24e^{-20t}

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derivative of

\frac{6}{5} - \frac{6}{5} e^{- 20 t}

24 e^{- 20 t}

Solution steps

\frac{d}{d t} (\frac{6}{5} - \frac{6}{5} e^{- 20 t})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (\frac{6}{5}) - \frac{d}{d t} (\frac{6}{5} e^{- 20 t})

\frac{d}{d t} (\frac{6}{5}) = 0

\frac{d}{d t} (\frac{6}{5} e^{- 20 t}) = - 24 e^{- 20 t}

= 0 - (- 24 e^{- 20 t})

Simplify

= 24 e^{- 20 t}

l o n g d i v i s i o n \frac{x ^{2} + 1}{x ^{2} - 4}

\frac{d y}{d x} = 4 - y

\int \frac{x ^{3}}{9} d x

d er i v a t i v e f (x) = \frac{7 x}{3 + x ^{2}}

t a y l or x, x = 4

What is the derivative of 6/5-6/5 e^{-20t} ?
The derivative of 6/5-6/5 e^{-20t} is 24e^{-20t}
What is the first derivative of 6/5-6/5 e^{-20t} ?
The first derivative of 6/5-6/5 e^{-20t} is 24e^{-20t}