What is the derivative of 5-2(x-2^2) ?

The derivative of 5-2(x-2^2) is -4x+8

What is the first derivative of 5-2(x-2^2) ?

The first derivative of 5-2(x-2^2) is -4x+8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (5 - 2 (x - 2)^{2})

- 4 x + 8

Solution steps

\frac{d}{d x} (5 - 2 (x - 2)^{2})

Simplify

5 - 2 (x - 2)^{2} : - 2 x^{2} + 8 x - 3

= \frac{d}{d x} (- 2 x^{2} + 8 x - 3)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (8 x) - \frac{d}{d x} (3)

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

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (3) = 0

= - 4 x + 8 - 0

Simplify

= - 4 x + 8

What is the derivative of 5-2(x-2^2) ?
The derivative of 5-2(x-2^2) is -4x+8
What is the first derivative of 5-2(x-2^2) ?
The first derivative of 5-2(x-2^2) is -4x+8