en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x+2^2+(10-3x)^2)

Solution

\frac{d}{d x} ((x + 2)^{2} + (10 - 3 x)^{2})

Solution

20 x - 56

Solution steps

\frac{d}{d x} ((x + 2)^{2} + (10 - 3 x)^{2})

Simplify

(x + 2)^{2} + (10 - 3 x)^{2} : 10 x^{2} - 56 x + 104

= \frac{d}{d x} (10 x^{2} - 56 x + 104)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 x^{2}) - \frac{d}{d x} (56 x) + \frac{d}{d x} (104)

\frac{d}{d x} (10 x^{2}) = 20 x

\frac{d}{d x} (56 x) = 56

\frac{d}{d x} (104) = 0

= 20 x - 56 + 0

Simplify

= 20 x - 56

Popular Examples

sum from n=1 to infinity of 1+1/(n+1)

n = 1 \sum \infty 1 + \frac{1}{n + 1}

limit as x approaches 0 of ((2-x)^3-8)/x

x \to 0 lim (\frac{( 2 - x ) ^{3} - 8}{x})

inverse oflaplace 5/(s^2+49)inverse laplace

\frac{5}{s ^{2} + 49}

y(1+x^2)y^'-x(9+y^2)=0

y (1 + x^{2}) y^{^{'}} - x (9 + y^{2}) = 0

integral of cos(x)-cos^4(x)

\int cos (x) - cos^{4} (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of (x+2^2+(10-3x)^2) ?
The derivative of (x+2^2+(10-3x)^2) is 20x-56
What is the first derivative of (x+2^2+(10-3x)^2) ?
The first derivative of (x+2^2+(10-3x)^2) is 20x-56