What is the derivative of (88x/(99x-88)) ?

The derivative of (88x/(99x-88)) is -(64)/((9x-8)^2)

What is the first derivative of (88x/(99x-88)) ?

The first derivative of (88x/(99x-88)) is -(64)/((9x-8)^2)

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\frac{d}{d x} (\frac{88 x}{99 x - 88})

- \frac{64}{( 9 x - 8 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{88 x}{99 x - 88})

Take the constant out:

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

= 88 \frac{d}{d x} (\frac{x}{99 x - 88})

Apply the Quotient Rule:

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

= 88 \cdot \frac{\frac{d x}{d x} ( 99 x - 88 ) - \frac{d}{d x} ( 99 x - 88 ) x}{( 99 x - 88 ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} (99 x - 88) = 99

= 88 \cdot \frac{1 \cdot ( 99 x - 88 ) - 99 x}{( 99 x - 88 ) ^{2}}

Simplify

88 \cdot \frac{1 \cdot ( 99 x - 88 ) - 99 x}{( 99 x - 88 ) ^{2}} : - \frac{64}{( 9 x - 8 ) ^{2}}

= - \frac{64}{( 9 x - 8 ) ^{2}}

\frac{d}{d x} (c x^{3})

f (x) = x^{4} + 2 e^{x}, at x = 0

x \to 1 lim (x^{2} + x + 1)

\int_{0}^{4} (x) d x

x \to 0 lim (4 x cos (x))

What is the derivative of (88x/(99x-88)) ?
The derivative of (88x/(99x-88)) is -(64)/((9x-8)^2)
What is the first derivative of (88x/(99x-88)) ?
The first derivative of (88x/(99x-88)) is -(64)/((9x-8)^2)