What is the derivative of ((2x+11^{3/2})/3) ?

The derivative of ((2x+11^{3/2})/3) is (2x+11)^{1/2}

What is the first derivative of ((2x+11^{3/2})/3) ?

The first derivative of ((2x+11^{3/2})/3) is (2x+11)^{1/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{( 2 x + 11 ) ^{\frac{3}{2}}}{3})

(2 x + 11)^{\frac{1}{2}}

Solution steps

\frac{d}{d x} (\frac{( 2 x + 11 ) ^{\frac{3}{2}}}{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{3} \frac{d}{d x} ((2 x + 11)^{\frac{3}{2}})

Apply the chain rule:

\frac{3 ( 2 x + 11 ) ^{\frac{1}{2}}}{2} \frac{d}{d x} (2 x + 11)

= \frac{3 ( 2 x + 11 ) ^{\frac{1}{2}}}{2} \frac{d}{d x} (2 x + 11)

\frac{d}{d x} (2 x + 11) = 2

= \frac{1}{3} \cdot \frac{3 ( 2 x + 11 ) ^{\frac{1}{2}}}{2} \cdot 2

Simplify

\frac{1}{3} \cdot \frac{3 ( 2 x + 11 ) ^{\frac{1}{2}}}{2} \cdot 2 : (2 x + 11)^{\frac{1}{2}}

= (2 x + 11)^{\frac{1}{2}}

x \to + 2 lim (3 x - 6)

\int sin^{4} (2 x) cos (2 x) d x

\frac{\partial}{\partial x} (A x + b y^{2} + c x^{2} y)

f (x) = 4 x^{2} + 4 x, (- 2, 8)

What is the derivative of ((2x+11^{3/2})/3) ?
The derivative of ((2x+11^{3/2})/3) is (2x+11)^{1/2}
What is the first derivative of ((2x+11^{3/2})/3) ?
The first derivative of ((2x+11^{3/2})/3) is (2x+11)^{1/2}