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

The tangent of f(x)= 2/(4-x),\at x=-1 is y= 2/25 x+12/25

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tangent of f(x)= 2/(4-x),\at x=-1

tangent

y = \frac{2}{25} x + \frac{12}{25}

Solution steps

Find the tangent point:

(- 1, \frac{2}{5})

Find the slope of

f (x) = \frac{2}{4 - x} : \frac{df ( x )}{d x} = \frac{2}{( 4 - x ) ^{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{2}{25}

Find the line with slope m=

\frac{2}{25}

and passing through

(- 1, \frac{2}{5}) : y = \frac{2}{25} x + \frac{12}{25}

y = \frac{2}{25} x + \frac{12}{25}

What is the tangent of f(x)= 2/(4-x),\at x=-1 ?
The tangent of f(x)= 2/(4-x),\at x=-1 is y= 2/25 x+12/25