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

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

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

tangent of

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

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

Solution steps

Find the tangent point:

(2, \frac{1}{2})

Find the slope of

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

Find the line with slope m=

- \frac{1}{4}

and passing through

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

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

\frac{d}{d x} (\frac{d y}{d x}) + 4 y = 2 sin (2 x)

2 x^{^{''}} + 12 x^{^{'}} + 50 x = 0

80 \cdot 2 2^{\frac{t}{20}}

\int \frac{6}{9 + 6 x} d x

\frac{d}{d x} (sin (2 x) + cos (3 x))

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