What is the derivative of 5e^{x^2} ?

The derivative of 5e^{x^2} is 10e^{x^2}x

What is the first derivative of 5e^{x^2} ?

The first derivative of 5e^{x^2} is 10e^{x^2}x

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derivative of

5 e^{x^{2}}

10 e^{x^{2}} x

Solution steps

\frac{d}{d x} (5 e^{x^{2}})

Take the constant out:

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

= 5 \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

= 5 e^{x^{2}} \cdot 2 x

Simplify

= 10 e^{x^{2}} x

(- 2, 5), (3, 5)

y = e^{8 e^{x}}

\frac{d}{d x} (\frac{1}{8} x^{4} + \frac{1}{4} x^{- 2})

y^{^{''}} + 25 y = cos (3 t)

\int_{0}^{\infty} E (t) d t

What is the derivative of 5e^{x^2} ?
The derivative of 5e^{x^2} is 10e^{x^2}x
What is the first derivative of 5e^{x^2} ?
The first derivative of 5e^{x^2} is 10e^{x^2}x