Best solutions to - "Find derivatives of the functions defined as follows:..."

ossidianaZ

Answered question

2021-10-02

Find derivatives of the functions defined as follows:

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

Adnaan Franks

Skilled2021-10-03Added 92 answers

Step 1
Given-

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

To find- The derivative of the above expression.
Step 2
Explanation- Rewrite the given expression,

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

Differentiating both sides w.r.t. x, we get,

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

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

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

So, the deriative of the given expression is

- 2 x e^{- x^{2}}

.
Answer- Hence, the deriative of the expression

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

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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