Solved: "Find derivatives of the functions defined as follows:..."

Kaycee Roche

Answered question

2021-10-10

Find derivatives of the functions defined as follows:

y = e^{- 2 x}

rogreenhoxa8

Skilled2021-10-11Added 109 answers

Step 1
The derivative of the function

e^{x} i s \frac{d}{d x} (e^{x}) = e^{x}

.
Find the derivative of the function

y = e^{- 2 x}

using chain rule as follows.

y^{'} = \frac{d}{d x} (e^{- 2 x})

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

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

Step 2
On further simplification,

y^{'} = e^{- 2 x} \frac{d}{d x} (- 2 x)

= e^{- 2 x} (- 2)

= - 2 e^{- 2 x}

Therefore, the derivative of

y = e^{- 2 x} i s - 2 e^{- 2 x}

Jeffrey Jordon

Expert2022-11-14Added 2605 answers

Answer is given below (on video)

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