What is the derivative of 26(2e^{x^2}x^2+e^{x^2}) ?

The derivative of 26(2e^{x^2}x^2+e^{x^2}) is 26(4e^{x^2}x^3+6e^{x^2}x)

What is the first derivative of 26(2e^{x^2}x^2+e^{x^2}) ?

The first derivative of 26(2e^{x^2}x^2+e^{x^2}) is 26(4e^{x^2}x^3+6e^{x^2}x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (26 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

26 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

Solution steps

\frac{d}{d x} (26 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

Take the constant out:

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

= 26 \frac{d}{d x} (2 e^{x^{2}} x^{2} + e^{x^{2}})

Apply the Sum/Difference Rule:

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

= 26 (\frac{d}{d x} (2 e^{x^{2}} x^{2}) + \frac{d}{d x} (e^{x^{2}}))

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

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

= 26 (2 (2 e^{x^{2}} x^{3} + 2 e^{x^{2}} x) + e^{x^{2}} \cdot 2 x)

Expand

2 (2 e^{x^{2}} x^{3} + 2 e^{x^{2}} x) + e^{x^{2}} \cdot 2 x : 4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x

= 26 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

y^{^{'}} = 3 y^{2} + x y^{2}, y (0) = 1

\int e^{t} (sin (t) + cos (t)) d t

\int_{- 3}^{2} x^{2} d x

\int \frac{1}{4 sin ( x ) - 3 cos ( x )} d x

\int_{1}^{\infty} \frac{1}{x ^{0}} d x

What is the derivative of 26(2e^{x^2}x^2+e^{x^2}) ?
The derivative of 26(2e^{x^2}x^2+e^{x^2}) is 26(4e^{x^2}x^3+6e^{x^2}x)
What is the first derivative of 26(2e^{x^2}x^2+e^{x^2}) ?
The first derivative of 26(2e^{x^2}x^2+e^{x^2}) is 26(4e^{x^2}x^3+6e^{x^2}x)