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

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

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

tangent of

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

y = - \frac{1}{2} x + 2

Solution steps

Find the tangent point:

(2, 1)

Find the slope of

f (x) = \frac{2}{x} : \frac{df ( x )}{d x} = - \frac{2}{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{1}{2}

Find the line with slope m=

- \frac{1}{2}

and passing through

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

y = - \frac{1}{2} x + 2

n = 1 \sum \infty (\frac{2}{n})^{n} \cdot n!

\frac{\partial}{\partial x} (e^{x} ln (y))

x \to - 3 lim (\frac{3 x}{x + 3})

\int_{0}^{6 x^{2}} (\frac{t}{t + 36}) d t

\frac{d}{d x} (20 - x)

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