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

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

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tangent of f(x)= 2/x ,\at x=1

tangent of

f (x) = \frac{2}{x}, at x = 1

y = - 2 x + 4

Solution steps

Find the tangent point:

(1, 2)

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 = - 2

Find the line with slope m=

- 2

and passing through

(1, 2) : y = - 2 x + 4

y = - 2 x + 4

t an g e n t x^{2} - 3 x + 3

\int 2 y e^{2 z} d z

d er i v a t i v e h (g^{^{'}} (x))

a re a y = \frac{4}{x}, y = 16 x, y = \frac{1}{16} x

d er i v a t i v e y = 3 x ln (x)

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