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+1^3)

Solution

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

Solution

\frac{3}{2} (\frac{x ^{2}}{4} + x + 1)

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

3 (\frac{x}{2} + 1)^{2} \frac{1}{2} : \frac{3}{2} (\frac{x ^{2}}{4} + x + 1)

= \frac{3}{2} (\frac{x ^{2}}{4} + x + 1)

Popular Examples

integral of e^{6x}sin(x)

\int e^{6 x} sin (x) d x

derivative of f(x)=1.5x^7-(x^4)/3+pix-ex^2+sqrt(2)derivative of

f (x) = 1.5 x^{7} - \frac{x ^{4}}{3} + π x - e x^{2} + 2

tangent of f(x)=x^3-4x^2 tangent of

f (x) = x^{3} - 4 x^{2}

integral from 0 to pi/4 of sin(x)

\int_{0}^{\frac{π}{4}} sin (x) d x

derivative of (48)/((1-x)^4)derivative of

\frac{48}{( 1 - x ) ^{4}}

Frequently Asked Questions (FAQ)

What is the derivative of (x/2+1^3) ?
The derivative of (x/2+1^3) is 3/2 ((x^2)/4+x+1)
What is the first derivative of (x/2+1^3) ?
The first derivative of (x/2+1^3) is 3/2 ((x^2)/4+x+1)