en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of ((1-5t))/(2+t)

Solution

derivative of

\frac{( 1 - 5 t )}{2 + t}

Solution

- \frac{11}{( 2 + t ) ^{2}}

Solution steps

\frac{d}{d t} (\frac{1 - 5 t}{2 + t})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d t} ( 1 - 5 t ) ( 2 + t ) - \frac{d}{d t} ( 2 + t ) ( 1 - 5 t )}{( 2 + t ) ^{2}}

\frac{d}{d t} (1 - 5 t) = - 5

\frac{d}{d t} (2 + t) = 1

= \frac{( - 5 ) ( 2 + t ) - 1 \cdot ( 1 - 5 t )}{( 2 + t ) ^{2}}

Simplify

\frac{( - 5 ) ( 2 + t ) - 1 \cdot ( 1 - 5 t )}{( 2 + t ) ^{2}} : - \frac{11}{( 2 + t ) ^{2}}

= - \frac{11}{( 2 + t ) ^{2}}

Popular Examples

(\partial)/(\partial x)(1/(sqrt(2pit))e^{-((x-y)^2)/(2t)})

\frac{\partial}{\partial x} (\frac{1}{2 π t} e^{- \frac{( x - y ) ^{2}}{2 t}})

limit as x approaches 1-of 2x-1

x \to 1 - lim (2 x - 1)

derivative of f(x)=(4x)/(x^2+4)derivative of

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

integral of (28)/(1-cos(4x))

\int \frac{28}{1 - cos ( 4 x )} d x

y^{^{'}} = y + x, y (0) = 1

Frequently Asked Questions (FAQ)

What is the derivative of ((1-5t))/(2+t) ?
The derivative of ((1-5t))/(2+t) is -(11)/((2+t)^2)
What is the first derivative of ((1-5t))/(2+t) ?
The first derivative of ((1-5t))/(2+t) is -(11)/((2+t)^2)