en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of x^3+12x^2+54x+14

Solution

derivative of

x^{3} + 12 x^{2} + 54 x + 14

Solution

3 x^{2} + 24 x + 54

Solution steps

\frac{d}{d x} (x^{3} + 12 x^{2} + 54 x + 14)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (54 x) + \frac{d}{d x} (14)

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (54 x) = 54

\frac{d}{d x} (14) = 0

= 3 x^{2} + 24 x + 54 + 0

Simplify

= 3 x^{2} + 24 x + 54

Graph

Popular Examples

integral of sec^2(x)*tan^5(x)

\int sec^{2} (x) \cdot tan^{5} (x) d x

(d^2)/(dx^2)((5x^2+4x)cos(x))

\frac{d ^{2}}{d x ^{2}} ((5 x^{2} + 4 x) cos (x))

integral from 4 to 5 of x^3

\int_{4}^{5} x^{3} d x

integral of t^{15}e^{-t^8}

\int t^{15} e^{- t^{8}} d t

integral from 0 to 1 of x+1

\int_{0}^{1} x + 1 d x

Frequently Asked Questions (FAQ)

What is the derivative of x^3+12x^2+54x+14 ?
The derivative of x^3+12x^2+54x+14 is 3x^2+24x+54
What is the first derivative of x^3+12x^2+54x+14 ?
The first derivative of x^3+12x^2+54x+14 is 3x^2+24x+54