en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(4x^3+2)

Solution

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

Solution

\frac{6 x ^{2}}{4 x ^{3} + 2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{3} + 2) = 12 x^{2}

= \frac{1}{2 4 x ^{3} + 2} \cdot 12 x^{2}

Simplify

\frac{1}{2 4 x ^{3} + 2} \cdot 12 x^{2} : \frac{6 x ^{2}}{4 x ^{3} + 2}

= \frac{6 x ^{2}}{4 x ^{3} + 2}

Popular Examples

integral of 2e^{2x}sec^3(e^{2x})

\int 2 e^{2 x} sec^{3} (e^{2 x}) d x

limit as x approaches 1+of sqrt((x-1)/(x-3))

x \to 1 + lim (\frac{x - 1}{x - 3})

integral from 0 to 1 of sqrt(1+36x)

\int_{0}^{1} 1 + 36 x d x

integral of cos^3(2θ)sin(2θ)

\int cos^{3} (2 θ) sin (2 θ) d θ

integral of 5e^xcos^2(x)

\int 5 e^{x} cos^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(4x^3+2) ?
The derivative of sqrt(4x^3+2) is (6x^2)/(sqrt(4x^3+2))
What is the first derivative of sqrt(4x^3+2) ?
The first derivative of sqrt(4x^3+2) is (6x^2)/(sqrt(4x^3+2))