What is the derivative of (x^2-3^3) ?

The derivative of (x^2-3^3) is 6x(x^2-3)^2

What is the first derivative of (x^2-3^3) ?

The first derivative of (x^2-3^3) is 6x(x^2-3)^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} ((x^{2} - 3)^{3})

6 x (x^{2} - 3)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (x^{2} - 3)^{2} \cdot 2 x

Simplify

= 6 x (x^{2} - 3)^{2}

\int \frac{14}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

\int ln (x^{6}) d x

\frac{d y}{d t} = \frac{3 ( y + 1 )}{t ^{2} + 5 t + 6}

\frac{d y}{d x} = \frac{x ^{4} y ^{4} + 4 x ^{4}}{y ^{3}}

What is the derivative of (x^2-3^3) ?
The derivative of (x^2-3^3) is 6x(x^2-3)^2
What is the first derivative of (x^2-3^3) ?
The first derivative of (x^2-3^3) is 6x(x^2-3)^2