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

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

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

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

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

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

Solution steps

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

Treat

t

as a constant

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= e^{- t^{2}} \cdot 2 x^{2 - 1}

Simplify

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

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

n \to \infty + lim (1^{n})

x \to - 2 lim (\frac{x ^{3} - 1}{x - 1})

y^{^{''}} + 8 y + 16 y = 0

n = 1 \sum \infty n e^{9 n}

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