What is the derivative of 3x^4+9x^3+11 ?

The derivative of 3x^4+9x^3+11 is 12x^3+27x^2

What is the first derivative of 3x^4+9x^3+11 ?

The first derivative of 3x^4+9x^3+11 is 12x^3+27x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

3 x^{4} + 9 x^{3} + 11

12 x^{3} + 27 x^{2}

Solution steps

\frac{d}{d x} (3 x^{4} + 9 x^{3} + 11)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{4}) + \frac{d}{d x} (9 x^{3}) + \frac{d}{d x} (11)

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

\frac{d}{d x} (9 x^{3}) = 27 x^{2}

\frac{d}{d x} (11) = 0

= 12 x^{3} + 27 x^{2} + 0

Simplify

= 12 x^{3} + 27 x^{2}

\int \frac{x ( x + 1 ) ^{2}}{x} d x

y^{^{''}} - 6 y^{^{'}} + 13 = 0

(- 4, 2), (1, - 4)

\frac{d y}{d x} - 3 y = 0

y = 3 + 2 x, y = \frac{6 + x}{2}

What is the derivative of 3x^4+9x^3+11 ?
The derivative of 3x^4+9x^3+11 is 12x^3+27x^2
What is the first derivative of 3x^4+9x^3+11 ?
The first derivative of 3x^4+9x^3+11 is 12x^3+27x^2