What is the derivative of 5500(1-1/50 t)^2 ?

The derivative of 5500(1-1/50 t)^2 is -220(1-t/(50))

What is the first derivative of 5500(1-1/50 t)^2 ?

The first derivative of 5500(1-1/50 t)^2 is -220(1-t/(50))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

5500 (1 - \frac{1}{50} t)^{2}

- 220 (1 - \frac{t}{50})

Solution steps

\frac{d}{d t} (5500 (1 - \frac{1}{50} t)^{2})

Simplify

5500 (1 - \frac{1}{50} t)^{2} : 5500 (1 - \frac{t}{50})^{2}

= \frac{d}{d t} (5500 (1 - \frac{t}{50})^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5500 \frac{d}{d t} ((1 - \frac{t}{50})^{2})

Apply the chain rule:

2 (1 - \frac{t}{50}) \frac{d}{d t} (1 - \frac{t}{50})

= 2 (1 - \frac{t}{50}) \frac{d}{d t} (1 - \frac{t}{50})

\frac{d}{d t} (1 - \frac{t}{50}) = - \frac{1}{50}

= 5500 \cdot 2 (1 - \frac{t}{50}) (- \frac{1}{50})

Simplify

5500 \cdot 2 (1 - \frac{t}{50}) (- \frac{1}{50}) : - 220 (1 - \frac{t}{50})

= - 220 (1 - \frac{t}{50})

What is the derivative of 5500(1-1/50 t)^2 ?
The derivative of 5500(1-1/50 t)^2 is -220(1-t/(50))
What is the first derivative of 5500(1-1/50 t)^2 ?
The first derivative of 5500(1-1/50 t)^2 is -220(1-t/(50))