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

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

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

tangent of

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

y = - x + 4

Solution steps

Find the tangent point:

(2, 2)

Find the slope of

f (x) = \frac{4}{x} : \frac{df ( x )}{d x} = - \frac{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 = - 1

Find the line with slope m=

- 1

and passing through

(2, 2) : y = - x + 4

y = - x + 4

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