en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 2x^3+(45x^2/2+21x+4)

Solution

\frac{d}{d x} (2 x^{3} + \frac{45 x ^{2}}{2} + 21 x + 4)

Solution

6 x^{2} + 45 x + 21

Solution steps

\frac{d}{d x} (2 x^{3} + \frac{45 x ^{2}}{2} + 21 x + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (\frac{45 x ^{2}}{2}) + \frac{d}{d x} (21 x) + \frac{d}{d x} (4)

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

\frac{d}{d x} (\frac{45 x ^{2}}{2}) = 45 x

\frac{d}{d x} (21 x) = 21

\frac{d}{d x} (4) = 0

= 6 x^{2} + 45 x + 21 + 0

Simplify

= 6 x^{2} + 45 x + 21

Popular Examples

integral of x^2sqrt(3+x)

\int x^{2} 3 + x d x

derivative of y=(e^x+1)/(e^x-1)derivative of

y = \frac{e ^{x} + 1}{e ^{x} - 1}

(\partial)/(\partial x)(-y/(x^2)+4x+1/y)

\frac{\partial}{\partial x} (- \frac{y}{x ^{2}} + 4 x + \frac{1}{y})

x^2(dy)/(dx)-2xy=5y^4

x^{2} \frac{d y}{d x} - 2 x y = 5 y^{4}

integral from-2 to 2 of (x+2)sqrt(4-x^2)

\int_{- 2}^{2} (x + 2) 4 - x^{2} d x

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3+(45x^2/2+21x+4) ?
The derivative of 2x^3+(45x^2/2+21x+4) is 6x^2+45x+21
What is the first derivative of 2x^3+(45x^2/2+21x+4) ?
The first derivative of 2x^3+(45x^2/2+21x+4) is 6x^2+45x+21