What is the derivative of (91t)/(99t-91) ?

The derivative of (91t)/(99t-91) is -(8281)/((99t-91)^2)

What is the first derivative of (91t)/(99t-91) ?

The first derivative of (91t)/(99t-91) is -(8281)/((99t-91)^2)

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derivative of

\frac{91 t}{99 t - 91}

- \frac{8281}{( 99 t - 91 ) ^{2}}

Solution steps

\frac{d}{d t} (\frac{91 t}{99 t - 91})

Take the constant out:

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

= 91 \frac{d}{d t} (\frac{t}{99 t - 91})

Apply the Quotient Rule:

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

= 91 \cdot \frac{\frac{d t}{d t} ( 99 t - 91 ) - \frac{d}{d t} ( 99 t - 91 ) t}{( 99 t - 91 ) ^{2}}

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

\frac{d}{d t} (99 t - 91) = 99

= 91 \cdot \frac{1 \cdot ( 99 t - 91 ) - 99 t}{( 99 t - 91 ) ^{2}}

Simplify

91 \cdot \frac{1 \cdot ( 99 t - 91 ) - 99 t}{( 99 t - 91 ) ^{2}} : - \frac{8281}{( 99 t - 91 ) ^{2}}

= - \frac{8281}{( 99 t - 91 ) ^{2}}

What is the derivative of (91t)/(99t-91) ?
The derivative of (91t)/(99t-91) is -(8281)/((99t-91)^2)
What is the first derivative of (91t)/(99t-91) ?
The first derivative of (91t)/(99t-91) is -(8281)/((99t-91)^2)