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

The tangent of f(x)=(2x-4)/(sqrt(x)),\at x=4 is y= 3/4 x-1

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

tangent of

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

y = \frac{3}{4} x - 1

Solution steps

Find the tangent point:

(4, 2)

Find the slope of

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

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{3}{4}

Find the line with slope m=

\frac{3}{4}

and passing through

(4, 2) : y = \frac{3}{4} x - 1

y = \frac{3}{4} x - 1

What is the tangent of f(x)=(2x-4)/(sqrt(x)),\at x=4 ?
The tangent of f(x)=(2x-4)/(sqrt(x)),\at x=4 is y= 3/4 x-1