What is the derivative of x-x^{1/2} ?

The derivative of x-x^{1/2} is 1-1/(2x^{1/2)}

What is the first derivative of x-x^{1/2} ?

The first derivative of x-x^{1/2} is 1-1/(2x^{1/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x - x^{\frac{1}{2}}

1 - \frac{1}{2 x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (x - x^{\frac{1}{2}})

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (x^{\frac{1}{2}})

\frac{d x}{d x} = 1

\frac{d}{d x} (x^{\frac{1}{2}}) = \frac{1}{2 x ^{\frac{1}{2}}}

= 1 - \frac{1}{2 x ^{\frac{1}{2}}}

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

\frac{4}{s ^{2} + 1}

\frac{d y}{d t} = t y

\frac{d y}{d x}, y = 5 x

x^{2} y^{^{''}} - 7 x y^{^{'}} + 7 y = 13 x^{\frac{1}{2}}

What is the derivative of x-x^{1/2} ?
The derivative of x-x^{1/2} is 1-1/(2x^{1/2)}
What is the first derivative of x-x^{1/2} ?
The first derivative of x-x^{1/2} is 1-1/(2x^{1/2)}