What is the slope of y= 1/(3x-4) ?

The slope of y= 1/(3x-4) is -3/((3x-4)^2)

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Find the Slope y=1/3x-4

slope

y = \frac{1}{3 x - 4}

- \frac{3}{( 3 x - 4 ) ^{2}}

Solution steps

y = \frac{1}{3 x - 4}

In order to find the slope of the function, take the derivative of

\frac{1}{3 x - 4}

\frac{d}{d x} (\frac{1}{3 x - 4}) = - \frac{3}{( 3 x - 4 ) ^{2}}

- \frac{3}{( 3 x - 4 ) ^{2}}

- \frac{d}{d x} y = 2 sin (x) cos (x)

- \frac{d}{d x} y = 2 tan (x)

- \frac{d}{d x} (4 sin (x))

- \frac{d}{d x} (sin (x y))

\frac{d y}{d x} y = sin (x)