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Popular >

tangent of (3x)/((2-3x)^3),\at x=2

Solution

tangent of

\frac{3 x}{( 2 - 3 x ) ^{3}}, at x = 2

Solution

y = \frac{21}{128} x - \frac{27}{64}

Solution steps

Find the tangent point:

(2, - \frac{3}{32})

Find the slope of

y = \frac{3 x}{( 2 - 3 x ) ^{3}} : \frac{d y}{d x} = \frac{6 ( 3 x + 1 )}{( 2 - 3 x ) ^{4}}

Compute the slope of

y = \frac{3 x}{( 2 - 3 x ) ^{3}}

at

x = 2 : m = \frac{21}{128}

Find the line with slope m=

\frac{21}{128}

and passing through

(2, - \frac{3}{32}) : y = \frac{21}{128} x - \frac{27}{64}

y = \frac{21}{128} x - \frac{27}{64}

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Frequently Asked Questions (FAQ)

What is the tangent of (3x)/((2-3x)^3),\at x=2 ?
The tangent of (3x)/((2-3x)^3),\at x=2 is y= 21/128 x-27/64