What is the derivative of cos(e^{-t^2}) ?

The derivative of cos(e^{-t^2}) is 2e^{-t^2}tsin(e^{-t^2})

What is the first derivative of cos(e^{-t^2}) ?

The first derivative of cos(e^{-t^2}) is 2e^{-t^2}tsin(e^{-t^2})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

cos (e^{- t^{2}})

2 e^{- t^{2}} t sin (e^{- t^{2}})

Solution steps

\frac{d}{d t} (cos (e^{- t^{2}}))

Apply the chain rule:

- sin (e^{- t^{2}}) \frac{d}{d t} (e^{- t^{2}})

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

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

= - sin (e^{- t^{2}}) (- 2 e^{- t^{2}} t)

Simplify

= 2 e^{- t^{2}} t sin (e^{- t^{2}})

\int_{0}^{π} sin (6 x) cos (3 x) d x

\int - 2 e^{x} (e^{x} - 1)^{3} d x

9 arctan (x - 1 + x^{2})

(19, - 16), (- 7, - 15)

x \to 2 lim (x^{3})

What is the derivative of cos(e^{-t^2}) ?
The derivative of cos(e^{-t^2}) is 2e^{-t^2}tsin(e^{-t^2})
What is the first derivative of cos(e^{-t^2}) ?
The first derivative of cos(e^{-t^2}) is 2e^{-t^2}tsin(e^{-t^2})