What is the derivative of e^{3x^3-x} ?

The derivative of e^{3x^3-x} is e^{3x^3-x}(9x^2-1)

What is the first derivative of e^{3x^3-x} ?

The first derivative of e^{3x^3-x} is e^{3x^3-x}(9x^2-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

e^{3 x^{3} - x} (9 x^{2} - 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{3} - x) = 9 x^{2} - 1

= e^{3 x^{3} - x} (9 x^{2} - 1)

What is the derivative of e^{3x^3-x} ?
The derivative of e^{3x^3-x} is e^{3x^3-x}(9x^2-1)
What is the first derivative of e^{3x^3-x} ?
The first derivative of e^{3x^3-x} is e^{3x^3-x}(9x^2-1)