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

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

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

tangent of

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

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

Solution steps

Find the tangent point:

(4, 5)

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

\frac{d}{d z} (ln (\frac{c ^{2} - z ^{2}}{c ^{2} + z ^{2}}))

y^{^{''}} + 4 y^{^{'}} + 6 y = 1 + e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

\frac{\partial}{\partial x} ((4 x + 7 y)^{10})

\int x^{2} + x + 2 d x

\int \frac{13 t ^{7} + t ^{5}}{t ^{\frac{3}{2}}} d t

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