What is the derivative of f(x)=3e^{(2x^2)} ?

The derivative of f(x)=3e^{(2x^2)} is 12e^{2x^2}x

What is the first derivative of f(x)=3e^{(2x^2)} ?

The first derivative of f(x)=3e^{(2x^2)} is 12e^{2x^2}x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 3 e^{(2 x^{2})}

12 e^{2 x^{2}} x

Solution steps

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

Take the constant out:

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

= 3 \frac{d}{d x} (e^{2 x^{2}})

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{2}) = 4 x

= 3 e^{2 x^{2}} \cdot 4 x

Simplify

= 12 e^{2 x^{2}} x

(y - 9)^{2} = y^{^{'}}

\frac{t}{t ^{2} + 1}

\int 5 e^{7 x} d x

\int \frac{y + 4}{2} - \frac{y ^{2}}{2} d y

\int \frac{4 ln ( x )}{x} d x

What is the derivative of f(x)=3e^{(2x^2)} ?
The derivative of f(x)=3e^{(2x^2)} is 12e^{2x^2}x
What is the first derivative of f(x)=3e^{(2x^2)} ?
The first derivative of f(x)=3e^{(2x^2)} is 12e^{2x^2}x