What is the derivative of f(x)=3e^{-x^2} ?

The derivative of f(x)=3e^{-x^2} is -6e^{-x^2}x

What is the first derivative of f(x)=3e^{-x^2} ?

The first derivative of f(x)=3e^{-x^2} is -6e^{-x^2}x

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derivative of

f (x) = 3 e^{- x^{2}}

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (e^{- x^{2}})

Apply the chain rule:

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

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

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

= 3 e^{- x^{2}} (- 2 x)

Simplify

= - 6 e^{- x^{2}} x

\int cos (ln (5 x)) d x

y^{^{'}} = \frac{11 x}{y}

y = cos (a^{6} + x^{6})

\int \frac{4}{15} x^{\frac{5}{2}} + 9 cos (x) + C x + C d x

\int \frac{1}{x ^{2}} + \frac{1}{x} d x

What is the derivative of f(x)=3e^{-x^2} ?
The derivative of f(x)=3e^{-x^2} is -6e^{-x^2}x
What is the first derivative of f(x)=3e^{-x^2} ?
The first derivative of f(x)=3e^{-x^2} is -6e^{-x^2}x