What is the derivative of (89t)/(99t-89) ?

The derivative of (89t)/(99t-89) is -(7921)/((99t-89)^2)

What is the first derivative of (89t)/(99t-89) ?

The first derivative of (89t)/(99t-89) is -(7921)/((99t-89)^2)

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derivative of

\frac{89 t}{99 t - 89}

- \frac{7921}{( 99 t - 89 ) ^{2}}

Solution steps

\frac{d}{d t} (\frac{89 t}{99 t - 89})

Take the constant out:

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

= 89 \frac{d}{d t} (\frac{t}{99 t - 89})

Apply the Quotient Rule:

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

= 89 \cdot \frac{\frac{d t}{d t} ( 99 t - 89 ) - \frac{d}{d t} ( 99 t - 89 ) t}{( 99 t - 89 ) ^{2}}

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

\frac{d}{d t} (99 t - 89) = 99

= 89 \cdot \frac{1 \cdot ( 99 t - 89 ) - 99 t}{( 99 t - 89 ) ^{2}}

Simplify

89 \cdot \frac{1 \cdot ( 99 t - 89 ) - 99 t}{( 99 t - 89 ) ^{2}} : - \frac{7921}{( 99 t - 89 ) ^{2}}

= - \frac{7921}{( 99 t - 89 ) ^{2}}

\int_{0}^{5} \frac{1}{x ^{2}} d x

x \to \frac{π}{2} lim (9 sin (x))

lo g_{e} (7 x^{2})

\frac{d}{d x} (x^{s i n (x)})

h \to 0 lim (\frac{ln ( 1 + h )}{h})

What is the derivative of (89t)/(99t-89) ?
The derivative of (89t)/(99t-89) is -(7921)/((99t-89)^2)
What is the first derivative of (89t)/(99t-89) ?
The first derivative of (89t)/(99t-89) is -(7921)/((99t-89)^2)