en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of y=sqrt(2x-1)

Solution

derivative of

y = 2 x - 1

Solution

\frac{1}{2 x - 1}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{2 2 x - 1} \cdot 2

Simplify

\frac{1}{2 2 x - 1} \cdot 2 : \frac{1}{2 x - 1}

= \frac{1}{2 x - 1}

Popular Examples

tangent of 7+2e^x-4x^4x-y=9 tangent of

7 + 2 e^{x} - 4 x^{4} x - y = 9

(\partial)/(\partial x)(x^{2x})

\frac{\partial}{\partial x} (x^{2 x})

limit as t approaches 1 of (t^3-1)/(t-1)

t \to 1 lim (\frac{t ^{3} - 1}{t - 1})

limit as x approaches+0-of 6/(5x^{1/3)}

x \to + 0 - lim (\frac{6}{5 x ^{\frac{1}{3}}})

derivative of sin(xcos^2(x))

\frac{d}{d x} (sin (x) cos^{2} (x))

Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(2x-1) ?
The derivative of y=sqrt(2x-1) is 1/(sqrt(2x-1))
What is the first derivative of y=sqrt(2x-1) ?
The first derivative of y=sqrt(2x-1) is 1/(sqrt(2x-1))