What is the derivative of 7e^{x^2} ?

The derivative of 7e^{x^2} is 14e^{x^2}x

What is the first derivative of 7e^{x^2} ?

The first derivative of 7e^{x^2} is 14e^{x^2}x

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derivative of

7 e^{x^{2}}

14 e^{x^{2}} x

Solution steps

\frac{d}{d x} (7 e^{x^{2}})

Take the constant out:

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

= 7 \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

= 7 e^{x^{2}} \cdot 2 x

Simplify

= 14 e^{x^{2}} x

\int \frac{tan ^{2} ( x )}{sin ( x )} d x

\int x^{2} - 2 y d y

\frac{d y}{d x} = 2 x 1 - y^{2}

d y - (y - 1) 2 d x = 0

x \to 5 lim (\frac{∣ 5 - x ∣}{5 - x})

What is the derivative of 7e^{x^2} ?
The derivative of 7e^{x^2} is 14e^{x^2}x
What is the first derivative of 7e^{x^2} ?
The first derivative of 7e^{x^2} is 14e^{x^2}x