Check the solution to "Derivatives Evaluate the following derivatives. ddx(e−10x2)"

Tara Alvarado

Answered question

2022-01-15

Derivatives Evaluate the following derivatives.

\frac{d}{d x} (e^{- 10 x^{2}})

Pademagk71

Beginner2022-01-16Added 34 answers

Given,

\frac{d}{d x} (e^{- 10 x^{2}})

On differentiating, we get

\frac{d}{d x} (e^{- 10 x^{2}}) = e^{- 10 x^{2}} \cdot \frac{d (- 10 x^{2})}{d x} [∵ \frac{d (e^{x})}{d x} = e^{x}]

= e^{- 10 x^{2}} \cdot (- 10) \cdot \frac{d (x^{2})}{d x}

= e^{- 10 x^{2}} \cdot (- 10) \cdot (2 x) [∵ \frac{d (x^{n})}{d x} = n x^{n - 1}]

= - 20 x \cdot e^{- 10 x^{2}}

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