What is the tangent of f(x)=|x-4|,\at x=0 ?

The tangent of f(x)=|x-4|,\at x=0 is y=-x+4

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tangent of f(x)=|x-4|,\at x=0

tangent of

f (x) = ∣ x - 4 ∣, at x = 0

y = - x + 4

Solution steps

Find the tangent point:

(0, 4)

Find the slope of

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

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

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

y = - x + 4

What is the tangent of f(x)=|x-4|,\at x=0 ?
The tangent of f(x)=|x-4|,\at x=0 is y=-x+4