What is the derivative of 2(4e^{x^2}x^3+6e^{x^2}x) ?

The derivative of 2(4e^{x^2}x^3+6e^{x^2}x) is 2(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})

What is the first derivative of 2(4e^{x^2}x^3+6e^{x^2}x) ?

The first derivative of 2(4e^{x^2}x^3+6e^{x^2}x) is 2(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (2 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

2 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

Solution steps

\frac{d}{d x} (2 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

Take the constant out:

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

= 2 \frac{d}{d x} (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 2 (\frac{d}{d x} (4 e^{x^{2}} x^{3}) + \frac{d}{d x} (6 e^{x^{2}} x))

\frac{d}{d x} (4 e^{x^{2}} x^{3}) = 4 (2 e^{x^{2}} x^{4} + 3 e^{x^{2}} x^{2})

\frac{d}{d x} (6 e^{x^{2}} x) = 6 (2 e^{x^{2}} x^{2} + e^{x^{2}})

= 2 (4 (2 e^{x^{2}} x^{4} + 3 e^{x^{2}} x^{2}) + 6 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

Expand

4 (2 e^{x^{2}} x^{4} + 3 e^{x^{2}} x^{2}) + 6 (2 e^{x^{2}} x^{2} + e^{x^{2}}) : 8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}}

= 2 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

f (x) = sec (x)

y (θ) = \frac{π}{7} sin (θ)

x \to - 9 - lim (\frac{- 2 x}{x + 9})

\int 2 x^{3} + 5 x^{2} - 2 x + 1 d x

f (x) = \frac{4}{x}, at x = \frac{1}{9}

What is the derivative of 2(4e^{x^2}x^3+6e^{x^2}x) ?
The derivative of 2(4e^{x^2}x^3+6e^{x^2}x) is 2(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})
What is the first derivative of 2(4e^{x^2}x^3+6e^{x^2}x) ?
The first derivative of 2(4e^{x^2}x^3+6e^{x^2}x) is 2(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})