en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(4t^2-t)

Solution

derivative of

4 t^{2} - t

Solution

\frac{8 t - 1}{2 4 t ^{2} - t}

Solution steps

\frac{d}{d t} (4 t^{2} - t)

Apply the chain rule:

\frac{1}{2 4 t ^{2} - t} \frac{d}{d t} (4 t^{2} - t)

= \frac{1}{2 4 t ^{2} - t} \frac{d}{d t} (4 t^{2} - t)

\frac{d}{d t} (4 t^{2} - t) = 8 t - 1

= \frac{1}{2 4 t ^{2} - t} (8 t - 1)

Simplify

\frac{1}{2 4 t ^{2} - t} (8 t - 1) : \frac{8 t - 1}{2 4 t ^{2} - t}

= \frac{8 t - 1}{2 4 t ^{2} - t}

Popular Examples

limit as x approaches 0 of (1-sqrt(x))/(1-x)

x \to 0 lim (\frac{1 - x}{1 - x})

sum from n=0 to infinity of 1/(9^n)

n = 0 \sum \infty \frac{1}{9 ^{n}}

limit as x approaches 0 of (-2-2cos(x)+2)/(x^4)

x \to 0 lim (\frac{- 2 - 2 cos ( x ) + 2}{x ^{4}})

derivative of f(x)=14sqrt(x)derivative of

f (x) = 14 x

derivative of y=tan^2(8x)derivative of

y = tan^{2} (8 x)

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(4t^2-t) ?
The derivative of sqrt(4t^2-t) is (8t-1)/(2sqrt(4t^2-t))
What is the first derivative of sqrt(4t^2-t) ?
The first derivative of sqrt(4t^2-t) is (8t-1)/(2sqrt(4t^2-t))