What is the derivative of e^{-xt} ?

The derivative of e^{-xt} is -e^{-xt}t

What is the first derivative of e^{-xt} ?

The first derivative of e^{-xt} is -e^{-xt}t

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\frac{d}{d x} (e^{- x t})

- e^{- x t} t

Solution steps

\frac{d}{d x} (e^{- x t})

Treat

t

as a constant

Apply the chain rule:

e^{- x t} \frac{d}{d x} (- x t)

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

\frac{d}{d x} (- x t) = - t

= e^{- x t} (- t)

Simplify

= - e^{- x t} t

x \to 3 + lim (\frac{[ x ]}{x})

y^{^{''}} - y = e^{x}

\int (6 x + 1) 2 x - 3 d x

\int \frac{x ^{2} - 3 x + 1}{( x - 1 ) ^{3}} d x

f (x) = 4 x^{2} sin (4 x)

What is the derivative of e^{-xt} ?
The derivative of e^{-xt} is -e^{-xt}t
What is the first derivative of e^{-xt} ?
The first derivative of e^{-xt} is -e^{-xt}t