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Popular >

derivative of (1-4t)/(3+t)

Solution

derivative of

\frac{1 - 4 t}{3 + t}

Solution

- \frac{13}{( 3 + t ) ^{2}}

Solution steps

\frac{d}{d t} (\frac{1 - 4 t}{3 + t})

Apply the Quotient Rule:

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

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

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

\frac{d}{d t} (3 + t) = 1

= \frac{( - 4 ) ( 3 + t ) - 1 \cdot ( 1 - 4 t )}{( 3 + t ) ^{2}}

Simplify

\frac{( - 4 ) ( 3 + t ) - 1 \cdot ( 1 - 4 t )}{( 3 + t ) ^{2}} : - \frac{13}{( 3 + t ) ^{2}}

= - \frac{13}{( 3 + t ) ^{2}}

Popular Examples

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\int \frac{( 2 z - 1 )}{2 z ^{2} - 6 z + 5} d z

(9x+1)y^2(dy)/(dx)+4x^2+3y^3=0

(9 x + 1) y^{2} \frac{d y}{d x} + 4 x^{2} + 3 y^{3} = 0

derivative of (x^{3.8}/(6^x))

\frac{d}{d x} (\frac{x ^{3.8}}{6 ^{x}})

derivative of tan^2(6θ)derivative of

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inverse oflaplace 1/(s^3(s-1))inverse laplace

\frac{1}{s ^{3} ( s - 1 )}

Frequently Asked Questions (FAQ)

What is the derivative of (1-4t)/(3+t) ?
The derivative of (1-4t)/(3+t) is -(13)/((3+t)^2)
What is the first derivative of (1-4t)/(3+t) ?
The first derivative of (1-4t)/(3+t) is -(13)/((3+t)^2)