What is the derivative of y^2(6-2x) ?

The derivative of y^2(6-2x) is 2y(dy)/(dx)(6-2x)-2y^2

What is the first derivative of y^2(6-2x) ?

The first derivative of y^2(6-2x) is 2y(dy)/(dx)(6-2x)-2y^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (y^{2} (6 - 2 x))

2 y \frac{d y}{d x} (6 - 2 x) - 2 y^{2}

Solution steps

\frac{d}{d x} (y^{2} (6 - 2 x))

Apply the Product Rule:

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

f = y^{2}, g = 6 - 2 x

= \frac{d}{d x} (y^{2}) (6 - 2 x) + \frac{d}{d x} (6 - 2 x) y^{2}

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

\frac{d}{d x} (6 - 2 x) = - 2

= 2 y \frac{d y}{d x} (6 - 2 x) + (- 2) y^{2}

Simplify

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

\int \frac{1}{x 10 x + 81} d x

n = 0 \sum \infty \frac{n ^{2}}{n ^{3}}

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

\int 7 \frac{sin ( 2 x )}{sin ( x )} d x

x^{2}, 3

What is the derivative of y^2(6-2x) ?
The derivative of y^2(6-2x) is 2y(dy)/(dx)(6-2x)-2y^2
What is the first derivative of y^2(6-2x) ?
The first derivative of y^2(6-2x) is 2y(dy)/(dx)(6-2x)-2y^2