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Popular >

(e^{-t})^'

Solution

(e^{- t})^{^{'}}

Solution

- e^{- t}

Solution steps

(e^{- t})^{'}

Apply the chain rule:

e^{- t} (- t)^{'}

= e^{- t} (- t)^{'}

(- t)^{'} = - 1

= e^{- t} (- 1)

Simplify

= - e^{- t}

Popular Examples

derivative of-10e^{-x^2}x derivative of

- 10 e^{- x^{2}} x

y^{^{'}} = \frac{y + t ^{3}}{t}

integral from 1 to 2 of 7/(x^3+3x)

\int_{1}^{2} \frac{7}{x ^{3} + 3 x} d x

y^{'''}+12y^{''}+36y^'=18x^2

y^{^{'''}} + 12 y^{^{''}} + 36 y^{^{'}} = 18 x^{2}

derivative of x^3+3 derivative of

x^{3} + 3

Frequently Asked Questions (FAQ)

What is the (e^{-t})^' ?
The (e^{-t})^' is -e^{-t}
What is the first (e^{-t})^' ?
The first (e^{-t})^' is -e^{-t}