What is the derivative of 0.5e^{x-1} ?

The derivative of 0.5e^{x-1} is 0.5e^{x-1}

What is the first derivative of 0.5e^{x-1} ?

The first derivative of 0.5e^{x-1} is 0.5e^{x-1}

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\frac{d}{d x} (0.5 e^{x - 1})

0.5 e^{x - 1}

Solution steps

\frac{d}{d x} (0.5 e^{x - 1})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 0.5 \frac{d}{d x} (e^{x - 1})

Apply the chain rule:

e^{x - 1} \frac{d}{d x} (x - 1)

= e^{x - 1} \frac{d}{d x} (x - 1)

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

= 0.5 e^{x - 1} \cdot 1

Simplify

= 0.5 e^{x - 1}

x \frac{d y}{d x} + y = x y^{2}

\frac{d}{d x} (2 x^{3} - 4)

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

\frac{9}{x - 7}

\int \frac{x}{4 x ^{2} + 9} d x

What is the derivative of 0.5e^{x-1} ?
The derivative of 0.5e^{x-1} is 0.5e^{x-1}
What is the first derivative of 0.5e^{x-1} ?
The first derivative of 0.5e^{x-1} is 0.5e^{x-1}