What is the derivative of 25+3x-x^2+5x^8 ?

The derivative of 25+3x-x^2+5x^8 is 40x^7-2x+3

What is the first derivative of 25+3x-x^2+5x^8 ?

The first derivative of 25+3x-x^2+5x^8 is 40x^7-2x+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (25 + 3 x - x^{2} + 5 x^{8})

40 x^{7} - 2 x + 3

Solution steps

\frac{d}{d x} (25 + 3 x - x^{2} + 5 x^{8})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (25) + \frac{d}{d x} (3 x) - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (5 x^{8})

\frac{d}{d x} (25) = 0

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

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

\frac{d}{d x} (5 x^{8}) = 40 x^{7}

= 0 + 3 - 2 x + 40 x^{7}

Simplify

= 40 x^{7} - 2 x + 3

What is the derivative of 25+3x-x^2+5x^8 ?
The derivative of 25+3x-x^2+5x^8 is 40x^7-2x+3
What is the first derivative of 25+3x-x^2+5x^8 ?
The first derivative of 25+3x-x^2+5x^8 is 40x^7-2x+3