What is the derivative of (t+1710)/(50(t+2)) ?

The derivative of (t+1710)/(50(t+2)) is -(854)/(25(t+2)^2)

What is the first derivative of (t+1710)/(50(t+2)) ?

The first derivative of (t+1710)/(50(t+2)) is -(854)/(25(t+2)^2)

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derivative of

\frac{t + 1710}{50 ( t + 2 )}

- \frac{854}{25 ( t + 2 ) ^{2}}

Solution steps

\frac{d}{d t} (\frac{t + 1710}{50 ( t + 2 )})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{50} \frac{d}{d t} (\frac{t + 1710}{t + 2})

Apply the Quotient Rule:

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

= \frac{1}{50} \cdot \frac{\frac{d}{d t} ( t + 1710 ) ( t + 2 ) - \frac{d}{d t} ( t + 2 ) ( t + 1710 )}{( t + 2 ) ^{2}}

\frac{d}{d t} (t + 1710) = 1

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

= \frac{1}{50} \cdot \frac{1 \cdot ( t + 2 ) - 1 \cdot ( t + 1710 )}{( t + 2 ) ^{2}}

Simplify

\frac{1}{50} \cdot \frac{1 \cdot ( t + 2 ) - 1 \cdot ( t + 1710 )}{( t + 2 ) ^{2}} : - \frac{854}{25 ( t + 2 ) ^{2}}

= - \frac{854}{25 ( t + 2 ) ^{2}}

- \frac{2}{s ^{3} ( s - 3 )}

\int_{0}^{N} e^{- s t} e^{- 2 t} d t

f (x) = (x^{2} + 3 x - 5) (1 - x), at x = 2

\frac{3 x}{x + 1}

\int \frac{1}{2 x ^{2} - 3} d x

What is the derivative of (t+1710)/(50(t+2)) ?
The derivative of (t+1710)/(50(t+2)) is -(854)/(25(t+2)^2)
What is the first derivative of (t+1710)/(50(t+2)) ?
The first derivative of (t+1710)/(50(t+2)) is -(854)/(25(t+2)^2)