en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (1-sqrt(2x)^3)

Solution

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

Solution

- \frac{3 ( 1 - 2 x ) ^{2}}{2 x}

Solution steps

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

Simplify

(1 - 2 x)^{3} : (1 - 2 x)^{3}

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

integral of e^{2x}sin(4x)

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

integral from 0 to 4 of (x-1)/(x^2-4x-5)

\int_{0}^{4} \frac{x - 1}{x ^{2} - 4 x - 5} d x

derivative of f(x)=\sqrt[5]{x}(x+4)derivative of

(\partial)/(\partial x)(-xe^xsin(y))

\frac{\partial}{\partial x} (- x e^{x} sin (y))

tangent of f(x)=x^2+91x-92,\at x=2 tangent of

f (x) = x^{2} + 91 x - 92, at x = 2

Frequently Asked Questions (FAQ)

What is the derivative of (1-sqrt(2x)^3) ?
The derivative of (1-sqrt(2x)^3) is -(3(1-sqrt(2)sqrt(x))^2)/(sqrt(2)\sqrt{x)}
What is the first derivative of (1-sqrt(2x)^3) ?
The first derivative of (1-sqrt(2x)^3) is -(3(1-sqrt(2)sqrt(x))^2)/(sqrt(2)\sqrt{x)}