Explained: "Find the derivatives of the functions y=2e−x+e3x"

Dillard

Answered question

2021-10-14

Find the derivatives of the functions

y = 2 e^{- x} + e^{3 x}

Mayme

Skilled2021-10-15Added 103 answers

Step 1
Given function
$y = 2 e^{- x} + e^{3 x}$
Step 2
The derivative of y with respect to x.
$\frac{d y}{d x} = \frac{d}{d x} (2 e^{- x} + e^{3 x})$

$\frac{d y}{d x} = \frac{d}{d x} (2 e^{- x}) + \frac{d}{d x} (e^{3 x})$

$\frac{d y}{d x} = 2 \frac{d}{d x} (e^{- x}) + \frac{d}{d x} (e^{3 x})$

$\frac{d y}{d x} = 2 (- e^{- x}) + 3 e^{3 x}$

$\frac{d y}{d x} = - 2 e^{- x} + 3 e^{3 x}$

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