en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^3+9x^2+35x+14

Solution

derivative of

x^{3} + 9 x^{2} + 35 x + 14

Solution

3 x^{2} + 18 x + 35

Solution steps

\frac{d}{d x} (x^{3} + 9 x^{2} + 35 x + 14)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (35 x) + \frac{d}{d x} (14)

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

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (35 x) = 35

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

= 3 x^{2} + 18 x + 35 + 0

Simplify

= 3 x^{2} + 18 x + 35

Popular Examples

derivative of (x^4)/4+1/(8x^2)derivative of

\frac{x ^{4}}{4} + \frac{1}{8 x ^{2}}

derivative of sin(x^2-1)

\frac{d}{d x} (sin (x^{2} - 1))

derivative of f(x)=(6x^2+4x+8)/(sqrt(x))derivative of

f (x) = \frac{6 x ^{2} + 4 x + 8}{x}

derivative of x^3-ysinh(x^2)

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

integral from-1 to 1 of 1/(x^5)

\int_{- 1}^{1} \frac{1}{x ^{5}} d x

Frequently Asked Questions (FAQ)

What is the derivative of x^3+9x^2+35x+14 ?
The derivative of x^3+9x^2+35x+14 is 3x^2+18x+35
What is the first derivative of x^3+9x^2+35x+14 ?
The first derivative of x^3+9x^2+35x+14 is 3x^2+18x+35