What is the derivative of 2e^{(x-5}) ?

The derivative of 2e^{(x-5}) is 2e^{x-5}

What is the first derivative of 2e^{(x-5}) ?

The first derivative of 2e^{(x-5}) is 2e^{x-5}

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\frac{d}{d x} (2 e^{(x - 5)})

2 e^{x - 5}

Solution steps

\frac{d}{d x} (2 e^{(x - 5)})

Take the constant out:

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

= 2 \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

= 2 e^{x - 5} \cdot 1

Simplify

= 2 e^{x - 5}

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

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

y = \frac{2}{( 4 x - 3 ) ^{\frac{1}{2}}}

f (x) = (1 + 2 x)^{2}

(4 x + 5)^{3}

What is the derivative of 2e^{(x-5}) ?
The derivative of 2e^{(x-5}) is 2e^{x-5}
What is the first derivative of 2e^{(x-5}) ?
The first derivative of 2e^{(x-5}) is 2e^{x-5}