What is the derivative of f(x)=4x^3+3x^2-2 ?

The derivative of f(x)=4x^3+3x^2-2 is 12x^2+6x

What is the first derivative of f(x)=4x^3+3x^2-2 ?

The first derivative of f(x)=4x^3+3x^2-2 is 12x^2+6x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

12 x^{2} + 6 x

Solution steps

\frac{d}{d x} (4 x^{3} + 3 x^{2} - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (2)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

\frac{d}{d x} (2) = 0

= 12 x^{2} + 6 x - 0

Simplify

= 12 x^{2} + 6 x

x \to \infty lim (x^{- 2})

\int (2 x + 3) e^{0.5 x} d x

f (x) = x^{\frac{2}{7}}

x \to \infty lim (2 x^{2} - 6)

\int x cos (π) d x

What is the derivative of f(x)=4x^3+3x^2-2 ?
The derivative of f(x)=4x^3+3x^2-2 is 12x^2+6x
What is the first derivative of f(x)=4x^3+3x^2-2 ?
The first derivative of f(x)=4x^3+3x^2-2 is 12x^2+6x