What is the derivative of e^{x-5} ?

The derivative of e^{x-5} is e^{x-5}

What is the first derivative of e^{x-5} ?

The first derivative of e^{x-5} is e^{x-5}

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\frac{d}{d x} (e^{x - 5})

e^{x - 5}

Solution steps

\frac{d}{d x} (e^{x - 5})

Apply the chain rule:

e^{x - 5} \frac{d}{d x} (x - 5)

= e^{x - 5} \frac{d}{d x} (x - 5)

\frac{d}{d x} (x - 5) = 1

= e^{x - 5} \cdot 1

Simplify

= e^{x - 5}

\int \frac{5 e ^{2 x}}{e ^{2 x} + 11 e ^{x} + 24} d x

\frac{d y}{d x} + 6 y = 7

\frac{\partial}{\partial x} (x y cos (z))

\int - x e^{\frac{y}{x}}

\frac{d}{d x} (x^{2} + 5 x + 4)

What is the derivative of e^{x-5} ?
The derivative of e^{x-5} is e^{x-5}
What is the first derivative of e^{x-5} ?
The first derivative of e^{x-5} is e^{x-5}