en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x+2^3-2)

Solution

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

Solution

3 x^{2} + 12 x + 12

Solution steps

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

Simplify

(x + 2)^{3} - 2 : x^{3} + 6 x^{2} + 12 x + 6

= \frac{d}{d x} (x^{3} + 6 x^{2} + 12 x + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (12 x) + \frac{d}{d x} (6)

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (6) = 0

= 3 x^{2} + 12 x + 12 + 0

Simplify

= 3 x^{2} + 12 x + 12

Popular Examples

derivative of tan^3(4x)

\frac{d}{d x} (tan^{3} (4 x))

integral of 11sqrt(x)

\int 11 x d x

derivative of sqrt(arctan(x))

\frac{d}{d x} (arctan (x))

integral from 1 to 6 of (x^2+8)/(7x-x^2)

\int_{1}^{6} \frac{x ^{2} + 8}{7 x - x ^{2}} d x

tangent of f(x)=-2x^3,(2,-16)tangent of

f (x) = - 2 x^{3}, (2, - 16)

Frequently Asked Questions (FAQ)

What is the derivative of (x+2^3-2) ?
The derivative of (x+2^3-2) is 3x^2+12x+12
What is the first derivative of (x+2^3-2) ?
The first derivative of (x+2^3-2) is 3x^2+12x+12