What is the derivative of f(x)=19e^{x^2} ?

The derivative of f(x)=19e^{x^2} is 38e^{x^2}x

What is the first derivative of f(x)=19e^{x^2} ?

The first derivative of f(x)=19e^{x^2} is 38e^{x^2}x

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derivative of

f (x) = 19 e^{x^{2}}

38 e^{x^{2}} x

Solution steps

\frac{d}{d x} (19 e^{x^{2}})

Take the constant out:

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

= 19 \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

= 19 e^{x^{2}} \cdot 2 x

Simplify

= 38 e^{x^{2}} x

f (x) = e^{e^{x}}

y \cdot e^{2 x} d x = (1 + e^{2 x}) d y

cos (25 π t + \frac{π}{2})

\frac{d y}{d x} = x y - y

\frac{d}{d y} (\frac{x + y}{x y})

What is the derivative of f(x)=19e^{x^2} ?
The derivative of f(x)=19e^{x^2} is 38e^{x^2}x
What is the first derivative of f(x)=19e^{x^2} ?
The first derivative of f(x)=19e^{x^2} is 38e^{x^2}x