What is the derivative of 3e^{x^2} ?

The derivative of 3e^{x^2} is 6e^{x^2}x

What is the first derivative of 3e^{x^2} ?

The first derivative of 3e^{x^2} is 6e^{x^2}x

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derivative of

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}} \cdot 2 x

Simplify

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

f (x) = \frac{1}{3} x^{3} - 14 x^{2} + 6 x + 1

\frac{d}{d x} (- x + \frac{8}{x} + 1)

y^{^{''}} + 10 y^{^{'}} + 24 y = 0

n = 1 \sum \infty 0.5

\int \frac{1}{25 e ^{- 3 x} + e ^{3 x}} d x

What is the derivative of 3e^{x^2} ?
The derivative of 3e^{x^2} is 6e^{x^2}x
What is the first derivative of 3e^{x^2} ?
The first derivative of 3e^{x^2} is 6e^{x^2}x