What is the derivative of x^4+3x^2-6 ?

The derivative of x^4+3x^2-6 is 4x^3+6x

What is the first derivative of x^4+3x^2-6 ?

The first derivative of x^4+3x^2-6 is 4x^3+6x

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

4 x^{3} + 6 x

Solution steps

\frac{d}{d x} (x^{4} + 3 x^{2} - 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (6)

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

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

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

= 4 x^{3} + 6 x - 0

Simplify

= 4 x^{3} + 6 x

x \to 0 lim (\frac{5 x}{x ^{2} + 5 x})

\frac{d y}{d x} + 2 y = e^{x} y^{- 6}

\int \frac{( ln ( x ) ) 2}{x} d x

\int_{0}^{\frac{π}{2}} e^{s i n (5 π x)} cos (5 π x) d x

\int 2 x (x^{2} + 6)^{7} d x

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