en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^2(580-x/3)

Solution

derivative of

x^{2} (580 - \frac{x}{3})

Solution

1160 x - x^{2}

Solution steps

\frac{d}{d x} (x^{2} (580 - \frac{x}{3}))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = 580 - \frac{x}{3}

= \frac{d}{d x} (x^{2}) (580 - \frac{x}{3}) + \frac{d}{d x} (580 - \frac{x}{3}) x^{2}

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

\frac{d}{d x} (580 - \frac{x}{3}) = - \frac{1}{3}

= 2 x (580 - \frac{x}{3}) + (- \frac{1}{3}) x^{2}

Simplify

2 x (580 - \frac{x}{3}) + (- \frac{1}{3}) x^{2} : 1160 x - x^{2}

= 1160 x - x^{2}

Popular Examples

taylor 9.8-y/5 taylor

9.8 - \frac{y}{5}

y^{''}+4y^'+4=0

y^{^{''}} + 4 y^{^{'}} + 4 = 0

integral of cos^9(x)tan^8(x)

\int cos^{9} (x) tan^{8} (x) d x

(\partial)/(\partial x)(3e^x)

\frac{\partial}{\partial x} (3 e^{x})

derivative of f(2)=11x^2+5x derivative of

f (2) = 11 x^{2} + 5 x

Frequently Asked Questions (FAQ)

What is the derivative of x^2(580-x/3) ?
The derivative of x^2(580-x/3) is 1160x-x^2
What is the first derivative of x^2(580-x/3) ?
The first derivative of x^2(580-x/3) is 1160x-x^2