What is the derivative of 4e^{-5t}-3e^{-t} ?

The derivative of 4e^{-5t}-3e^{-t} is -20e^{-5t}+3e^{-t}

What is the first derivative of 4e^{-5t}-3e^{-t} ?

The first derivative of 4e^{-5t}-3e^{-t} is -20e^{-5t}+3e^{-t}

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derivative of

4 e^{- 5 t} - 3 e^{- t}

- 20 e^{- 5 t} + 3 e^{- t}

Solution steps

\frac{d}{d t} (4 e^{- 5 t} - 3 e^{- t})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (4 e^{- 5 t}) - \frac{d}{d t} (3 e^{- t})

\frac{d}{d t} (4 e^{- 5 t}) = - 20 e^{- 5 t}

\frac{d}{d t} (3 e^{- t}) = - 3 e^{- t}

= - 20 e^{- 5 t} - (- 3 e^{- t})

Simplify

= - 20 e^{- 5 t} + 3 e^{- t}

\frac{d y}{d t} + y = sin (t)

t sin (3 t) - 2 t cos (t)

2 sin (x^{2})

\int 2 sec^{2} (x) tan (x) d x

t^{3} e^{- 2 t}

What is the derivative of 4e^{-5t}-3e^{-t} ?
The derivative of 4e^{-5t}-3e^{-t} is -20e^{-5t}+3e^{-t}
What is the first derivative of 4e^{-5t}-3e^{-t} ?
The first derivative of 4e^{-5t}-3e^{-t} is -20e^{-5t}+3e^{-t}