What is the derivative of x*sqrt(x)-3x ?

The derivative of x*sqrt(x)-3x is (3sqrt(x))/2-3

What is the first derivative of x*sqrt(x)-3x ?

The first derivative of x*sqrt(x)-3x is (3sqrt(x))/2-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (x \cdot x - 3 x)

\frac{3 x}{2} - 3

Solution steps

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

Simplify

x x - 3 x : x^{\frac{3}{2}} - 3 x

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{3 x}{2} - 3

\frac{d}{d t} (t, t^{2}, t^{3})

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

f (x) = - 2 x^{3}, (- 2, 16)

\frac{\partial}{\partial y} (- \frac{5}{1 + x ^{2} - y})

f (x) = x^{3}, at x = - 2

What is the derivative of x*sqrt(x)-3x ?
The derivative of x*sqrt(x)-3x is (3sqrt(x))/2-3
What is the first derivative of x*sqrt(x)-3x ?
The first derivative of x*sqrt(x)-3x is (3sqrt(x))/2-3