What is the tangent of f(x)=x+4/x ,(4,5) ?

The tangent of f(x)=x+4/x ,(4,5) is y= 3/4 x+2

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tangent of f(x)=x+4/x ,(4,5)

tangent of

f (x) = x + \frac{4}{x}, (4, 5)

y = \frac{3}{4} x + 2

Solution steps

Find the slope of

f (x) = x + \frac{4}{x} : \frac{df ( x )}{d x} = 1 - \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 = \frac{3}{4}

Find the line with slope m=

\frac{3}{4}

and passing through

(4, 5) : y = \frac{3}{4} x + 2

y = \frac{3}{4} x + 2

What is the tangent of f(x)=x+4/x ,(4,5) ?
The tangent of f(x)=x+4/x ,(4,5) is y= 3/4 x+2