What is the derivative of 13e^{x^2} ?

The derivative of 13e^{x^2} is 26e^{x^2}x

What is the first derivative of 13e^{x^2} ?

The first derivative of 13e^{x^2} is 26e^{x^2}x

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derivative of

13 e^{x^{2}}

26 e^{x^{2}} x

Solution steps

\frac{d}{d x} (13 e^{x^{2}})

Take the constant out:

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

= 13 \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

= 13 e^{x^{2}} \cdot 2 x

Simplify

= 26 e^{x^{2}} x

y^{^{'}} + 3 y = 4

- y^{^{'}} x + y = - 7 x

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

\int_{0}^{\frac{π}{6}} 3 sec^{2} (x) d x

\int cos^{3} (\frac{1}{3}) x d x

What is the derivative of 13e^{x^2} ?
The derivative of 13e^{x^2} is 26e^{x^2}x
What is the first derivative of 13e^{x^2} ?
The first derivative of 13e^{x^2} is 26e^{x^2}x