What is the first derivative of e^{at} ?

The first derivative of e^{at} is 0

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derivative of e^{at}

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

0

Solution steps

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

Treat

a, t

as a constant

Derivative of a constant:

\frac{d}{d x} (a) = 0

= 0

\int e^{- 14 x} d x

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

\int_{0.5}^{2} \frac{2}{x} - \frac{1}{2} x d x

\frac{d y}{d t} + e^{t} y = 11 e^{t}

(e^{y} - y e^{x}) d x + (x e^{y} - e^{x}) d y = 0