en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 4x^3-102x^2+840x+520

Solution

\frac{d}{d x} (4 x^{3} - 102 x^{2} + 840 x + 520)

Solution

12 x^{2} - 204 x + 840

Solution steps

\frac{d}{d x} (4 x^{3} - 102 x^{2} + 840 x + 520)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (102 x^{2}) + \frac{d}{d x} (840 x) + \frac{d}{d x} (520)

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

\frac{d}{d x} (102 x^{2}) = 204 x

\frac{d}{d x} (840 x) = 840

\frac{d}{d x} (520) = 0

= 12 x^{2} - 204 x + 840 + 0

Simplify

= 12 x^{2} - 204 x + 840

Popular Examples

y^{''}+5y^'+6y=1+2t+3t^2

y^{^{''}} + 5 y^{^{'}} + 6 y = 1 + 2 t + 3 t^{2}

simplify 25(x^2-y^2)simplify

25 (x^{2} - y^{2})

derivative of tan(3x)derivative of

tan (3 x)

derivative of (5x)/(x+3)derivative of

\frac{5 x}{x + 3}

inverse oflaplace 1/(s^3+s^2+5s)inverse laplace

\frac{1}{s ^{3} + s ^{2} + 5 s}

Frequently Asked Questions (FAQ)

What is the derivative of 4x^3-102x^2+840x+520 ?
The derivative of 4x^3-102x^2+840x+520 is 12x^2-204x+840
What is the first derivative of 4x^3-102x^2+840x+520 ?
The first derivative of 4x^3-102x^2+840x+520 is 12x^2-204x+840