What is the derivative of y= t/((t-7)^2) ?

The derivative of y= t/((t-7)^2) is (-7-t)/((t-7)^3)

What is the first derivative of y= t/((t-7)^2) ?

The first derivative of y= t/((t-7)^2) is (-7-t)/((t-7)^3)

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derivative of

y = \frac{t}{( t - 7 ) ^{2}}

\frac{- 7 - t}{( t - 7 ) ^{3}}

Solution steps

\frac{d}{d t} (\frac{t}{( t - 7 ) ^{2}})

Apply the Quotient Rule:

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

= \frac{\frac{d t}{d t} ( t - 7 ) ^{2} - \frac{d}{d t} ( ( t - 7 ) ^{2} ) t}{( ( t - 7 ) ^{2} ) ^{2}}

\frac{d t}{d t} = 1

\frac{d}{d t} ((t - 7)^{2}) = 2 (t - 7)

= \frac{1 \cdot ( t - 7 ) ^{2} - 2 ( t - 7 ) t}{( ( t - 7 ) ^{2} ) ^{2}}

Simplify

\frac{1 \cdot ( t - 7 ) ^{2} - 2 ( t - 7 ) t}{( ( t - 7 ) ^{2} ) ^{2}} : \frac{- 7 - t}{( t - 7 ) ^{3}}

= \frac{- 7 - t}{( t - 7 ) ^{3}}

x \to \infty lim (ln (9 x) - ln (x + 7))

\int \frac{1}{ln ( x ) x} d x

\int \frac{ln ( x )}{2 x} d x

f (x) = (1 n (x^{3}))

x \to 19 lim (\frac{x - 19}{x ^{2} - 361})

What is the derivative of y= t/((t-7)^2) ?
The derivative of y= t/((t-7)^2) is (-7-t)/((t-7)^3)
What is the first derivative of y= t/((t-7)^2) ?
The first derivative of y= t/((t-7)^2) is (-7-t)/((t-7)^3)