What is the tangent of f(x)= 2/(x-4),\at x=6 ?

The tangent of f(x)= 2/(x-4),\at x=6 is y=-1/2 x+4

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tangent of f(x)= 2/(x-4),\at x=6

tangent of

f (x) = \frac{2}{x - 4}, at x = 6

y = - \frac{1}{2} x + 4

Solution steps

Find the tangent point:

(6, 1)

Find the slope of

f (x) = \frac{2}{x - 4} : \frac{df ( x )}{d x} = - \frac{2}{( x - 4 ) ^{2}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = - \frac{1}{2}

Find the line with slope m=

- \frac{1}{2}

and passing through

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

y = - \frac{1}{2} x + 4

\int (6 x^{6} + 3 x^{5} + 5 x - 4) d x

\frac{\partial}{\partial x} (e^{i x} cos (i y))

\int ln (x) \cdot \frac{1}{x} d x

\int (1 - x^{2} - x) x d x

\int \frac{x ^{4} + x - 16}{x ^{2} + 4} d x

What is the tangent of f(x)= 2/(x-4),\at x=6 ?
The tangent of f(x)= 2/(x-4),\at x=6 is y=-1/2 x+4