en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=-(x^2)/2-4x-10

Solution

derivative of

f (x) = - \frac{x ^{2}}{2} - 4 x - 10

Solution

- x - 4

Solution steps

\frac{d}{d x} (- \frac{x ^{2}}{2} - 4 x - 10)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{x ^{2}}{2}) - \frac{d}{d x} (4 x) - \frac{d}{d x} (10)

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

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

\frac{d}{d x} (10) = 0

= - x - 4 - 0

Simplify

= - x - 4

Popular Examples

integral of ((50x+6))/((7x+1)(x-1))

\int \frac{( 50 x + 6 )}{( 7 x + 1 ) ( x - 1 )} d x

(\partial)/(\partial y)((x-y)/(x+y))

\frac{\partial}{\partial y} (\frac{x - y}{x + y})

derivative of g(u)=sqrt(u+1)(1-8u^2)^7 derivative of

g (u) = u + 1 (1 - 8 u^{2})^{7}

derivative of ln(1+(ln(2)/x))

\frac{d}{d x} (ln (1 + \frac{ln ( 2 )}{x}))

integral from 0 to 2 of 2x^2-x^3

\int_{0}^{2} 2 x^{2} - x^{3} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-(x^2)/2-4x-10 ?
The derivative of f(x)=-(x^2)/2-4x-10 is -x-4
What is the first derivative of f(x)=-(x^2)/2-4x-10 ?
The first derivative of f(x)=-(x^2)/2-4x-10 is -x-4