en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 2(3x^2+x-3^2)

Solution

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

Solution

4 (3 x^{2} + x - 3) (6 x + 1)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} + x - 3) = 6 x + 1

= 2 \cdot 2 (3 x^{2} + x - 3) (6 x + 1)

Simplify

= 4 (3 x^{2} + x - 3) (6 x + 1)

Popular Examples

integral of (x^2-4)/(x^2)

\int \frac{x ^{2} - 4}{x ^{2}} d x

limit as x approaches 1 of (x-2)/(x^2-4)

x \to 1 lim (\frac{x - 2}{x ^{2} - 4})

derivative of y=(4x-9)/(2x+3),x=2 derivative of

y = \frac{4 x - 9}{2 x + 3}, x = 2

derivative of (2x-2)^4(x^2+x+1)^5 derivative of

(2 x - 2)^{4} (x^{2} + x + 1)^{5}

integral from 0 to 4 of xe^x

\int_{0}^{4} x e^{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 2(3x^2+x-3^2) ?
The derivative of 2(3x^2+x-3^2) is 4(3x^2+x-3)(6x+1)
What is the first derivative of 2(3x^2+x-3^2) ?
The first derivative of 2(3x^2+x-3^2) is 4(3x^2+x-3)(6x+1)