en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=sqrt(2x^2+1)

Solution

derivative of

f (x) = 2 x^{2} + 1

Solution

\frac{2 x}{2 x ^{2} + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2 x}{2 x ^{2} + 1}

Popular Examples

integral of (8e^{2x})/(e^{2x)+3e^x+2}

\int \frac{8 e ^{2 x}}{e ^{2 x} + 3 e ^{x} + 2} d x

derivative of 6cos(x)csc(x^2)derivative of

6 cos (x) csc (x^{2})

laplacetransform cos(3t+5)laplace transform

cos (3 t + 5)

limit as x approaches-2+of 2x+sqrt(2+x)

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

tangent of x^2+x+4 tangent of

x^{2} + x + 4

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(2x^2+1) ?
The derivative of f(x)=sqrt(2x^2+1) is (2x)/(sqrt(2x^2+1))
What is the first derivative of f(x)=sqrt(2x^2+1) ?
The first derivative of f(x)=sqrt(2x^2+1) is (2x)/(sqrt(2x^2+1))