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

Popular >

\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

\frac{d}{d y} (36 - y^{2})

\frac{\partial}{\partial x} (7 y e^{8 x})

x \to 0 lim (\frac{3}{e ^{x} - 1} - \frac{1}{3})

\int - 4 cos (2 t + π) d t

\int \frac{4400 x}{4 x ^{2} + 320} d x

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