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

The derivative of cos(e^{-x^2}) is 2e^{-x^2}xsin(e^{-x^2})

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

The first derivative of cos(e^{-x^2}) is 2e^{-x^2}xsin(e^{-x^2})

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

x y^{^{'}} + y = x^{2} ln (x)

n = 1 \sum \infty (0.5)^{- n}

\int 4 x cos (3 x) d x

\frac{\partial}{\partial u} (u^{2} + v^{2})

\int \frac{6 ln ( 4 x )}{5} d x

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