What is the tangent of f(x)= 1/(5+3x),(2, 1/11) ?

The tangent of f(x)= 1/(5+3x),(2, 1/11) is y=-3/121 x+17/121

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tangent of f(x)= 1/(5+3x),(2, 1/11)

tangent of

f (x) = \frac{1}{5 + 3 x}, (2, \frac{1}{11})

y = - \frac{3}{121} x + \frac{17}{121}

Solution steps

Find the slope of

f (x) = \frac{1}{5 + 3 x} : \frac{df ( x )}{d x} = - \frac{3}{( 5 + 3 x ) ^{2}}

Compute the slope of

f (x) = \frac{1}{5 + 3 x}

(2, \frac{1}{11}) : m = - \frac{3}{121}

Find the line with slope m=

- \frac{3}{121}

and passing through

(2, \frac{1}{11}) : y = - \frac{3}{121} x + \frac{17}{121}

y = - \frac{3}{121} x + \frac{17}{121}

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What is the tangent of f(x)= 1/(5+3x),(2, 1/11) ?
The tangent of f(x)= 1/(5+3x),(2, 1/11) is y=-3/121 x+17/121